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Finding the Fourth Proportional to 1,657.97, 2,475.08 and 1,600.26

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Solution

The fourth proportional to 1,657.97, 2,475.08 and 1,600.26 is: 2,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.97 : 2,475.08 = 1,600.26 : x
  2. Step 2: Convert to fraction form
    1,657.97/2,475.08 = 1,600.26/x
  3. Step 3: Cross multiply
    1,657.97x = 2,475.08 × 1,600.26
  4. Step 4: Simplify right side
    1,657.97x = 3,960,763.52
  5. Step 5: Solve for x
    x = 3,960,763.52/1,657.97
  6. Step 6: Final answer
    x = 2,388.93

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