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Finding the Fourth Proportional to 2,458.72, 3,688.26 and 978.52

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Solution

The fourth proportional to 2,458.72, 3,688.26 and 978.52 is: 1,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.72 : 3,688.26 = 978.52 : x
  2. Step 2: Convert to fraction form
    2,458.72/3,688.26 = 978.52/x
  3. Step 3: Cross multiply
    2,458.72x = 3,688.26 × 978.52
  4. Step 4: Simplify right side
    2,458.72x = 3,609,036.18
  5. Step 5: Solve for x
    x = 3,609,036.18/2,458.72
  6. Step 6: Final answer
    x = 1,467.85

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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.