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Finding the Fourth Proportional to 1,641.94, 2,265.86 and 979.10

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Solution

The fourth proportional to 1,641.94, 2,265.86 and 979.10 is: 1,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.94 : 2,265.86 = 979.10 : x
  2. Step 2: Convert to fraction form
    1,641.94/2,265.86 = 979.10/x
  3. Step 3: Cross multiply
    1,641.94x = 2,265.86 × 979.10
  4. Step 4: Simplify right side
    1,641.94x = 2,218,503.53
  5. Step 5: Solve for x
    x = 2,218,503.53/1,641.94
  6. Step 6: Final answer
    x = 1,351.15

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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.