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Finding the Fourth Proportional to 2,138.55, 2,951.46 and 1,508.46

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Solution

The fourth proportional to 2,138.55, 2,951.46 and 1,508.46 is: 2,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.55 : 2,951.46 = 1,508.46 : x
  2. Step 2: Convert to fraction form
    2,138.55/2,951.46 = 1,508.46/x
  3. Step 3: Cross multiply
    2,138.55x = 2,951.46 × 1,508.46
  4. Step 4: Simplify right side
    2,138.55x = 4,452,159.35
  5. Step 5: Solve for x
    x = 4,452,159.35/2,138.55
  6. Step 6: Final answer
    x = 2,081.86

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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.