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Finding the Fourth Proportional to 1,547.91, 2,320.95 and 572.87

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Solution

The fourth proportional to 1,547.91, 2,320.95 and 572.87 is: 858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.91 : 2,320.95 = 572.87 : x
  2. Step 2: Convert to fraction form
    1,547.91/2,320.95 = 572.87/x
  3. Step 3: Cross multiply
    1,547.91x = 2,320.95 × 572.87
  4. Step 4: Simplify right side
    1,547.91x = 1,329,610.58
  5. Step 5: Solve for x
    x = 1,329,610.58/1,547.91
  6. Step 6: Final answer
    x = 858.97

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