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Finding the Fourth Proportional to 3,006.26, 4,507.90 and 925.76

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Solution

The fourth proportional to 3,006.26, 4,507.90 and 925.76 is: 1,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.26 : 4,507.90 = 925.76 : x
  2. Step 2: Convert to fraction form
    3,006.26/4,507.90 = 925.76/x
  3. Step 3: Cross multiply
    3,006.26x = 4,507.90 × 925.76
  4. Step 4: Simplify right side
    3,006.26x = 4,173,233.50
  5. Step 5: Solve for x
    x = 4,173,233.50/3,006.26
  6. Step 6: Final answer
    x = 1,388.18

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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.