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Finding the Fourth Proportional to 2,473.17, 3,709.14 and 718.12

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Solution

The fourth proportional to 2,473.17, 3,709.14 and 718.12 is: 1,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.17 : 3,709.14 = 718.12 : x
  2. Step 2: Convert to fraction form
    2,473.17/3,709.14 = 718.12/x
  3. Step 3: Cross multiply
    2,473.17x = 3,709.14 × 718.12
  4. Step 4: Simplify right side
    2,473.17x = 2,663,607.62
  5. Step 5: Solve for x
    x = 2,663,607.62/2,473.17
  6. Step 6: Final answer
    x = 1,077.00

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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.