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Finding the Fourth Proportional to 2,152.62, 2,951.26 and 2,113.74

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Solution

The fourth proportional to 2,152.62, 2,951.26 and 2,113.74 is: 2,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.62 : 2,951.26 = 2,113.74 : x
  2. Step 2: Convert to fraction form
    2,152.62/2,951.26 = 2,113.74/x
  3. Step 3: Cross multiply
    2,152.62x = 2,951.26 × 2,113.74
  4. Step 4: Simplify right side
    2,152.62x = 6,238,196.31
  5. Step 5: Solve for x
    x = 6,238,196.31/2,152.62
  6. Step 6: Final answer
    x = 2,897.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.