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Finding the Fourth Proportional to 2,437.39, 3,656.63 and 706.15

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Solution

The fourth proportional to 2,437.39, 3,656.63 and 706.15 is: 1,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.39 : 3,656.63 = 706.15 : x
  2. Step 2: Convert to fraction form
    2,437.39/3,656.63 = 706.15/x
  3. Step 3: Cross multiply
    2,437.39x = 3,656.63 × 706.15
  4. Step 4: Simplify right side
    2,437.39x = 2,582,129.27
  5. Step 5: Solve for x
    x = 2,582,129.27/2,437.39
  6. Step 6: Final answer
    x = 1,059.38

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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.