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Finding the Fourth Proportional to 2,120.76, 3,160.71 and 2,117.52

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Solution

The fourth proportional to 2,120.76, 3,160.71 and 2,117.52 is: 3,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.76 : 3,160.71 = 2,117.52 : x
  2. Step 2: Convert to fraction form
    2,120.76/3,160.71 = 2,117.52/x
  3. Step 3: Cross multiply
    2,120.76x = 3,160.71 × 2,117.52
  4. Step 4: Simplify right side
    2,120.76x = 6,692,866.64
  5. Step 5: Solve for x
    x = 6,692,866.64/2,120.76
  6. Step 6: Final answer
    x = 3,155.88

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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.