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Finding the Fourth Proportional to 2,098.28, 2,894.42 and 1,434.76

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Solution

The fourth proportional to 2,098.28, 2,894.42 and 1,434.76 is: 1,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.28 : 2,894.42 = 1,434.76 : x
  2. Step 2: Convert to fraction form
    2,098.28/2,894.42 = 1,434.76/x
  3. Step 3: Cross multiply
    2,098.28x = 2,894.42 × 1,434.76
  4. Step 4: Simplify right side
    2,098.28x = 4,152,798.04
  5. Step 5: Solve for x
    x = 4,152,798.04/2,098.28
  6. Step 6: Final answer
    x = 1,979.14

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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.