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Finding the Fourth Proportional to 2,473.32, 3,710.54 and 741.96

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Solution

The fourth proportional to 2,473.32, 3,710.54 and 741.96 is: 1,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.32 : 3,710.54 = 741.96 : x
  2. Step 2: Convert to fraction form
    2,473.32/3,710.54 = 741.96/x
  3. Step 3: Cross multiply
    2,473.32x = 3,710.54 × 741.96
  4. Step 4: Simplify right side
    2,473.32x = 2,753,072.26
  5. Step 5: Solve for x
    x = 2,753,072.26/2,473.32
  6. Step 6: Final answer
    x = 1,113.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.