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Finding the Fourth Proportional to 2,473.52, 3,709.69 and 718.05

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Solution

The fourth proportional to 2,473.52, 3,709.69 and 718.05 is: 1,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.52 : 3,709.69 = 718.05 : x
  2. Step 2: Convert to fraction form
    2,473.52/3,709.69 = 718.05/x
  3. Step 3: Cross multiply
    2,473.52x = 3,709.69 × 718.05
  4. Step 4: Simplify right side
    2,473.52x = 2,663,741.11
  5. Step 5: Solve for x
    x = 2,663,741.11/2,473.52
  6. Step 6: Final answer
    x = 1,076.91

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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.