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Finding the Fourth Proportional to 2,232.30, 3,349.13 and 751.35

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Solution

The fourth proportional to 2,232.30, 3,349.13 and 751.35 is: 1,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.30 : 3,349.13 = 751.35 : x
  2. Step 2: Convert to fraction form
    2,232.30/3,349.13 = 751.35/x
  3. Step 3: Cross multiply
    2,232.30x = 3,349.13 × 751.35
  4. Step 4: Simplify right side
    2,232.30x = 2,516,368.83
  5. Step 5: Solve for x
    x = 2,516,368.83/2,232.30
  6. Step 6: Final answer
    x = 1,127.25

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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.