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Finding the Fourth Proportional to 1,547.64, 2,320.02 and 1,060.92

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Solution

The fourth proportional to 1,547.64, 2,320.02 and 1,060.92 is: 1,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.64 : 2,320.02 = 1,060.92 : x
  2. Step 2: Convert to fraction form
    1,547.64/2,320.02 = 1,060.92/x
  3. Step 3: Cross multiply
    1,547.64x = 2,320.02 × 1,060.92
  4. Step 4: Simplify right side
    1,547.64x = 2,461,355.62
  5. Step 5: Solve for x
    x = 2,461,355.62/1,547.64
  6. Step 6: Final answer
    x = 1,590.39

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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.