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Finding the Fourth Proportional to 1,657, 2,287.14 and 1,105

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Solution

The fourth proportional to 1,657, 2,287.14 and 1,105 is: 1,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 2,287.14 = 1,105 : x
  2. Step 2: Convert to fraction form
    1,657/2,287.14 = 1,105/x
  3. Step 3: Cross multiply
    1,657x = 2,287.14 × 1,105
  4. Step 4: Simplify right side
    1,657x = 2,527,289.70
  5. Step 5: Solve for x
    x = 2,527,289.70/1,657
  6. Step 6: Final answer
    x = 1,525.22

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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.