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Finding the Fourth Proportional to 2,098.90, 2,893.48 and 1,434.70

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Solution

The fourth proportional to 2,098.90, 2,893.48 and 1,434.70 is: 1,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.90 : 2,893.48 = 1,434.70 : x
  2. Step 2: Convert to fraction form
    2,098.90/2,893.48 = 1,434.70/x
  3. Step 3: Cross multiply
    2,098.90x = 2,893.48 × 1,434.70
  4. Step 4: Simplify right side
    2,098.90x = 4,151,275.76
  5. Step 5: Solve for x
    x = 4,151,275.76/2,098.90
  6. Step 6: Final answer
    x = 1,977.83

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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.