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Finding the Fourth Proportional to 1,657.80, 2,290.68 and 1,239.84

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Solution

The fourth proportional to 1,657.80, 2,290.68 and 1,239.84 is: 1,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.80 : 2,290.68 = 1,239.84 : x
  2. Step 2: Convert to fraction form
    1,657.80/2,290.68 = 1,239.84/x
  3. Step 3: Cross multiply
    1,657.80x = 2,290.68 × 1,239.84
  4. Step 4: Simplify right side
    1,657.80x = 2,840,076.69
  5. Step 5: Solve for x
    x = 2,840,076.69/1,657.80
  6. Step 6: Final answer
    x = 1,713.16

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