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Finding the Fourth Proportional to 2,129.55, 3,175.52 and 1,870.61

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Solution

The fourth proportional to 2,129.55, 3,175.52 and 1,870.61 is: 2,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.55 : 3,175.52 = 1,870.61 : x
  2. Step 2: Convert to fraction form
    2,129.55/3,175.52 = 1,870.61/x
  3. Step 3: Cross multiply
    2,129.55x = 3,175.52 × 1,870.61
  4. Step 4: Simplify right side
    2,129.55x = 5,940,159.47
  5. Step 5: Solve for x
    x = 5,940,159.47/2,129.55
  6. Step 6: Final answer
    x = 2,789.40

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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.