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Finding the Fourth Proportional to 2,124.48, 2,930.16 and 1,378.62

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Solution

The fourth proportional to 2,124.48, 2,930.16 and 1,378.62 is: 1,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.48 : 2,930.16 = 1,378.62 : x
  2. Step 2: Convert to fraction form
    2,124.48/2,930.16 = 1,378.62/x
  3. Step 3: Cross multiply
    2,124.48x = 2,930.16 × 1,378.62
  4. Step 4: Simplify right side
    2,124.48x = 4,039,577.18
  5. Step 5: Solve for x
    x = 4,039,577.18/2,124.48
  6. Step 6: Final answer
    x = 1,901.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.