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Finding the Fourth Proportional to 2,021.71, 3,032.56 and 560.86

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Solution

The fourth proportional to 2,021.71, 3,032.56 and 560.86 is: 841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.71 : 3,032.56 = 560.86 : x
  2. Step 2: Convert to fraction form
    2,021.71/3,032.56 = 560.86/x
  3. Step 3: Cross multiply
    2,021.71x = 3,032.56 × 560.86
  4. Step 4: Simplify right side
    2,021.71x = 1,700,841.60
  5. Step 5: Solve for x
    x = 1,700,841.60/2,021.71
  6. Step 6: Final answer
    x = 841.29

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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.