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Finding the Fourth Proportional to 2,672.34, 4,008.96 and 1,192.10

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Solution

The fourth proportional to 2,672.34, 4,008.96 and 1,192.10 is: 1,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.34 : 4,008.96 = 1,192.10 : x
  2. Step 2: Convert to fraction form
    2,672.34/4,008.96 = 1,192.10/x
  3. Step 3: Cross multiply
    2,672.34x = 4,008.96 × 1,192.10
  4. Step 4: Simplify right side
    2,672.34x = 4,779,061.17
  5. Step 5: Solve for x
    x = 4,779,061.17/2,672.34
  6. Step 6: Final answer
    x = 1,788.34

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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.