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Finding the Fourth Proportional to 2,978.53, 4,470.08 and 1,248.37

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Solution

The fourth proportional to 2,978.53, 4,470.08 and 1,248.37 is: 1,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.53 : 4,470.08 = 1,248.37 : x
  2. Step 2: Convert to fraction form
    2,978.53/4,470.08 = 1,248.37/x
  3. Step 3: Cross multiply
    2,978.53x = 4,470.08 × 1,248.37
  4. Step 4: Simplify right side
    2,978.53x = 5,580,313.77
  5. Step 5: Solve for x
    x = 5,580,313.77/2,978.53
  6. Step 6: Final answer
    x = 1,873.51

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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.