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Finding the Fourth Proportional to 1,400.80, 2,097.04 and 1,037.20

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Solution

The fourth proportional to 1,400.80, 2,097.04 and 1,037.20 is: 1,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.80 : 2,097.04 = 1,037.20 : x
  2. Step 2: Convert to fraction form
    1,400.80/2,097.04 = 1,037.20/x
  3. Step 3: Cross multiply
    1,400.80x = 2,097.04 × 1,037.20
  4. Step 4: Simplify right side
    1,400.80x = 2,175,049.89
  5. Step 5: Solve for x
    x = 2,175,049.89/1,400.80
  6. Step 6: Final answer
    x = 1,552.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.