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Finding the Fourth Proportional to 1,360.83, 2,032.04 and 1,080.04

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Solution

The fourth proportional to 1,360.83, 2,032.04 and 1,080.04 is: 1,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.83 : 2,032.04 = 1,080.04 : x
  2. Step 2: Convert to fraction form
    1,360.83/2,032.04 = 1,080.04/x
  3. Step 3: Cross multiply
    1,360.83x = 2,032.04 × 1,080.04
  4. Step 4: Simplify right side
    1,360.83x = 2,194,672.84
  5. Step 5: Solve for x
    x = 2,194,672.84/1,360.83
  6. Step 6: Final answer
    x = 1,612.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.