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Finding the Fourth Proportional to 2,491.30, 3,737.04 and 1,907.14

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Solution

The fourth proportional to 2,491.30, 3,737.04 and 1,907.14 is: 2,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.30 : 3,737.04 = 1,907.14 : x
  2. Step 2: Convert to fraction form
    2,491.30/3,737.04 = 1,907.14/x
  3. Step 3: Cross multiply
    2,491.30x = 3,737.04 × 1,907.14
  4. Step 4: Simplify right side
    2,491.30x = 7,127,058.47
  5. Step 5: Solve for x
    x = 7,127,058.47/2,491.30
  6. Step 6: Final answer
    x = 2,860.78

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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.