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Finding the Fourth Proportional to 1,298.88, 1,938.29 and 1,160.46

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Solution

The fourth proportional to 1,298.88, 1,938.29 and 1,160.46 is: 1,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.88 : 1,938.29 = 1,160.46 : x
  2. Step 2: Convert to fraction form
    1,298.88/1,938.29 = 1,160.46/x
  3. Step 3: Cross multiply
    1,298.88x = 1,938.29 × 1,160.46
  4. Step 4: Simplify right side
    1,298.88x = 2,249,302.21
  5. Step 5: Solve for x
    x = 2,249,302.21/1,298.88
  6. Step 6: Final answer
    x = 1,731.72

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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.