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Finding the Fourth Proportional to 1,302.66, 1,939.37 and 1,296.18

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Solution

The fourth proportional to 1,302.66, 1,939.37 and 1,296.18 is: 1,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.66 : 1,939.37 = 1,296.18 : x
  2. Step 2: Convert to fraction form
    1,302.66/1,939.37 = 1,296.18/x
  3. Step 3: Cross multiply
    1,302.66x = 1,939.37 × 1,296.18
  4. Step 4: Simplify right side
    1,302.66x = 2,513,766.13
  5. Step 5: Solve for x
    x = 2,513,766.13/1,302.66
  6. Step 6: Final answer
    x = 1,929.72

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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.