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Finding the Fourth Proportional to 2,564.90, 3,847.34 and 617.10

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Solution

The fourth proportional to 2,564.90, 3,847.34 and 617.10 is: 925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.90 : 3,847.34 = 617.10 : x
  2. Step 2: Convert to fraction form
    2,564.90/3,847.34 = 617.10/x
  3. Step 3: Cross multiply
    2,564.90x = 3,847.34 × 617.10
  4. Step 4: Simplify right side
    2,564.90x = 2,374,193.51
  5. Step 5: Solve for x
    x = 2,374,193.51/2,564.90
  6. Step 6: Final answer
    x = 925.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.