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Finding the Fourth Proportional to 2,978.47, 4,447.65 and 2,431.72

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Solution

The fourth proportional to 2,978.47, 4,447.65 and 2,431.72 is: 3,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.47 : 4,447.65 = 2,431.72 : x
  2. Step 2: Convert to fraction form
    2,978.47/4,447.65 = 2,431.72/x
  3. Step 3: Cross multiply
    2,978.47x = 4,447.65 × 2,431.72
  4. Step 4: Simplify right side
    2,978.47x = 10,815,405.06
  5. Step 5: Solve for x
    x = 10,815,405.06/2,978.47
  6. Step 6: Final answer
    x = 3,631.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.