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Finding the Fourth Proportional to 2,123.68, 3,182.64 and 1,098.40

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Solution

The fourth proportional to 2,123.68, 3,182.64 and 1,098.40 is: 1,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.68 : 3,182.64 = 1,098.40 : x
  2. Step 2: Convert to fraction form
    2,123.68/3,182.64 = 1,098.40/x
  3. Step 3: Cross multiply
    2,123.68x = 3,182.64 × 1,098.40
  4. Step 4: Simplify right side
    2,123.68x = 3,495,811.78
  5. Step 5: Solve for x
    x = 3,495,811.78/2,123.68
  6. Step 6: Final answer
    x = 1,646.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.