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Finding the Fourth Proportional to 2,382.79, 3,575.04 and 1,066.44

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Solution

The fourth proportional to 2,382.79, 3,575.04 and 1,066.44 is: 1,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.79 : 3,575.04 = 1,066.44 : x
  2. Step 2: Convert to fraction form
    2,382.79/3,575.04 = 1,066.44/x
  3. Step 3: Cross multiply
    2,382.79x = 3,575.04 × 1,066.44
  4. Step 4: Simplify right side
    2,382.79x = 3,812,547.78
  5. Step 5: Solve for x
    x = 3,812,547.78/2,382.79
  6. Step 6: Final answer
    x = 1,600.04

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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.