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Finding the Fourth Proportional to 1,299.59, 1,938.42 and 1,260.68

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Solution

The fourth proportional to 1,299.59, 1,938.42 and 1,260.68 is: 1,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.59 : 1,938.42 = 1,260.68 : x
  2. Step 2: Convert to fraction form
    1,299.59/1,938.42 = 1,260.68/x
  3. Step 3: Cross multiply
    1,299.59x = 1,938.42 × 1,260.68
  4. Step 4: Simplify right side
    1,299.59x = 2,443,721.02
  5. Step 5: Solve for x
    x = 2,443,721.02/1,299.59
  6. Step 6: Final answer
    x = 1,880.39

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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.