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Finding the Fourth Proportional to 1,298.40, 1,937.61 and 1,160.00

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Solution

The fourth proportional to 1,298.40, 1,937.61 and 1,160.00 is: 1,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.40 : 1,937.61 = 1,160.00 : x
  2. Step 2: Convert to fraction form
    1,298.40/1,937.61 = 1,160.00/x
  3. Step 3: Cross multiply
    1,298.40x = 1,937.61 × 1,160.00
  4. Step 4: Simplify right side
    1,298.40x = 2,247,617.91
  5. Step 5: Solve for x
    x = 2,247,617.91/1,298.40
  6. Step 6: Final answer
    x = 1,731.07

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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.