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Finding the Fourth Proportional to 3,066.90, 4,600.51 and 875.96

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Solution

The fourth proportional to 3,066.90, 4,600.51 and 875.96 is: 1,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.90 : 4,600.51 = 875.96 : x
  2. Step 2: Convert to fraction form
    3,066.90/4,600.51 = 875.96/x
  3. Step 3: Cross multiply
    3,066.90x = 4,600.51 × 875.96
  4. Step 4: Simplify right side
    3,066.90x = 4,029,862.74
  5. Step 5: Solve for x
    x = 4,029,862.74/3,066.90
  6. Step 6: Final answer
    x = 1,313.99

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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.