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Finding the Fourth Proportional to 1,642.40, 2,265.23 and 1,052.98

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Solution

The fourth proportional to 1,642.40, 2,265.23 and 1,052.98 is: 1,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.40 : 2,265.23 = 1,052.98 : x
  2. Step 2: Convert to fraction form
    1,642.40/2,265.23 = 1,052.98/x
  3. Step 3: Cross multiply
    1,642.40x = 2,265.23 × 1,052.98
  4. Step 4: Simplify right side
    1,642.40x = 2,385,241.89
  5. Step 5: Solve for x
    x = 2,385,241.89/1,642.40
  6. Step 6: Final answer
    x = 1,452.29

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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.