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Finding the Fourth Proportional to 1,657.58, 2,285.69 and 1,097.87

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Solution

The fourth proportional to 1,657.58, 2,285.69 and 1,097.87 is: 1,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.58 : 2,285.69 = 1,097.87 : x
  2. Step 2: Convert to fraction form
    1,657.58/2,285.69 = 1,097.87/x
  3. Step 3: Cross multiply
    1,657.58x = 2,285.69 × 1,097.87
  4. Step 4: Simplify right side
    1,657.58x = 2,509,373.56
  5. Step 5: Solve for x
    x = 2,509,373.56/1,657.58
  6. Step 6: Final answer
    x = 1,513.88

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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.