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Finding the Fourth Proportional to 1,329.16, 1,829.18 and 1,294.84

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Solution

The fourth proportional to 1,329.16, 1,829.18 and 1,294.84 is: 1,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.16 : 1,829.18 = 1,294.84 : x
  2. Step 2: Convert to fraction form
    1,329.16/1,829.18 = 1,294.84/x
  3. Step 3: Cross multiply
    1,329.16x = 1,829.18 × 1,294.84
  4. Step 4: Simplify right side
    1,329.16x = 2,368,490.67
  5. Step 5: Solve for x
    x = 2,368,490.67/1,329.16
  6. Step 6: Final answer
    x = 1,781.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.