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Finding the Fourth Proportional to 2,412.64, 3,618.96 and 1,547.52

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Solution

The fourth proportional to 2,412.64, 3,618.96 and 1,547.52 is: 2,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.64 : 3,618.96 = 1,547.52 : x
  2. Step 2: Convert to fraction form
    2,412.64/3,618.96 = 1,547.52/x
  3. Step 3: Cross multiply
    2,412.64x = 3,618.96 × 1,547.52
  4. Step 4: Simplify right side
    2,412.64x = 5,600,412.98
  5. Step 5: Solve for x
    x = 5,600,412.98/2,412.64
  6. Step 6: Final answer
    x = 2,321.28

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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.