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Finding the Fourth Proportional to 1,742.31, 2,597.06 and 1,668.50

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Solution

The fourth proportional to 1,742.31, 2,597.06 and 1,668.50 is: 2,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.31 : 2,597.06 = 1,668.50 : x
  2. Step 2: Convert to fraction form
    1,742.31/2,597.06 = 1,668.50/x
  3. Step 3: Cross multiply
    1,742.31x = 2,597.06 × 1,668.50
  4. Step 4: Simplify right side
    1,742.31x = 4,333,195.53
  5. Step 5: Solve for x
    x = 4,333,195.53/1,742.31
  6. Step 6: Final answer
    x = 2,487.04

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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.