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Finding the Fourth Proportional to 1,708.42, 2,354.01 and 1,377.22

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Solution

The fourth proportional to 1,708.42, 2,354.01 and 1,377.22 is: 1,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.42 : 2,354.01 = 1,377.22 : x
  2. Step 2: Convert to fraction form
    1,708.42/2,354.01 = 1,377.22/x
  3. Step 3: Cross multiply
    1,708.42x = 2,354.01 × 1,377.22
  4. Step 4: Simplify right side
    1,708.42x = 3,241,989.65
  5. Step 5: Solve for x
    x = 3,241,989.65/1,708.42
  6. Step 6: Final answer
    x = 1,897.65

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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.