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Finding the Fourth Proportional to 1,640.14, 2,263.71 and 1,079.62

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Solution

The fourth proportional to 1,640.14, 2,263.71 and 1,079.62 is: 1,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.14 : 2,263.71 = 1,079.62 : x
  2. Step 2: Convert to fraction form
    1,640.14/2,263.71 = 1,079.62/x
  3. Step 3: Cross multiply
    1,640.14x = 2,263.71 × 1,079.62
  4. Step 4: Simplify right side
    1,640.14x = 2,443,946.59
  5. Step 5: Solve for x
    x = 2,443,946.59/1,640.14
  6. Step 6: Final answer
    x = 1,490.08

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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.