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Finding the Fourth Proportional to 2,143.76, 2,957.64 and 1,358.16

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Solution

The fourth proportional to 2,143.76, 2,957.64 and 1,358.16 is: 1,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.76 : 2,957.64 = 1,358.16 : x
  2. Step 2: Convert to fraction form
    2,143.76/2,957.64 = 1,358.16/x
  3. Step 3: Cross multiply
    2,143.76x = 2,957.64 × 1,358.16
  4. Step 4: Simplify right side
    2,143.76x = 4,016,948.34
  5. Step 5: Solve for x
    x = 4,016,948.34/2,143.76
  6. Step 6: Final answer
    x = 1,873.79

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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.