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Finding the Fourth Proportional to 2,562.70, 3,841.65 and 2,007.10

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Solution

The fourth proportional to 2,562.70, 3,841.65 and 2,007.10 is: 3,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.70 : 3,841.65 = 2,007.10 : x
  2. Step 2: Convert to fraction form
    2,562.70/3,841.65 = 2,007.10/x
  3. Step 3: Cross multiply
    2,562.70x = 3,841.65 × 2,007.10
  4. Step 4: Simplify right side
    2,562.70x = 7,710,575.72
  5. Step 5: Solve for x
    x = 7,710,575.72/2,562.70
  6. Step 6: Final answer
    x = 3,008.77

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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.