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Finding the Fourth Proportional to 1,562.70, 2,155.80 and 1,037.82

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Solution

The fourth proportional to 1,562.70, 2,155.80 and 1,037.82 is: 1,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.70 : 2,155.80 = 1,037.82 : x
  2. Step 2: Convert to fraction form
    1,562.70/2,155.80 = 1,037.82/x
  3. Step 3: Cross multiply
    1,562.70x = 2,155.80 × 1,037.82
  4. Step 4: Simplify right side
    1,562.70x = 2,237,332.36
  5. Step 5: Solve for x
    x = 2,237,332.36/1,562.70
  6. Step 6: Final answer
    x = 1,431.71

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Why These Related Problems?

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