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Finding the Fourth Proportional to 2,097.60, 2,894.68 and 1,434.44

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Solution

The fourth proportional to 2,097.60, 2,894.68 and 1,434.44 is: 1,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.60 : 2,894.68 = 1,434.44 : x
  2. Step 2: Convert to fraction form
    2,097.60/2,894.68 = 1,434.44/x
  3. Step 3: Cross multiply
    2,097.60x = 2,894.68 × 1,434.44
  4. Step 4: Simplify right side
    2,097.60x = 4,152,244.78
  5. Step 5: Solve for x
    x = 4,152,244.78/2,097.60
  6. Step 6: Final answer
    x = 1,979.52

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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.