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Finding the Fourth Proportional to 1,565.81, 2,346.89 and 872.15

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Solution

The fourth proportional to 1,565.81, 2,346.89 and 872.15 is: 1,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.81 : 2,346.89 = 872.15 : x
  2. Step 2: Convert to fraction form
    1,565.81/2,346.89 = 872.15/x
  3. Step 3: Cross multiply
    1,565.81x = 2,346.89 × 872.15
  4. Step 4: Simplify right side
    1,565.81x = 2,046,840.11
  5. Step 5: Solve for x
    x = 2,046,840.11/1,565.81
  6. Step 6: Final answer
    x = 1,307.21

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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.