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Finding the Fourth Proportional to 1,298.60, 1,938.82 and 1,284.92

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Solution

The fourth proportional to 1,298.60, 1,938.82 and 1,284.92 is: 1,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.60 : 1,938.82 = 1,284.92 : x
  2. Step 2: Convert to fraction form
    1,298.60/1,938.82 = 1,284.92/x
  3. Step 3: Cross multiply
    1,298.60x = 1,938.82 × 1,284.92
  4. Step 4: Simplify right side
    1,298.60x = 2,491,228.59
  5. Step 5: Solve for x
    x = 2,491,228.59/1,298.60
  6. Step 6: Final answer
    x = 1,918.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.