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Finding the Fourth Proportional to 1,625.04, 2,438.40 and 759.35

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Solution

The fourth proportional to 1,625.04, 2,438.40 and 759.35 is: 1,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.04 : 2,438.40 = 759.35 : x
  2. Step 2: Convert to fraction form
    1,625.04/2,438.40 = 759.35/x
  3. Step 3: Cross multiply
    1,625.04x = 2,438.40 × 759.35
  4. Step 4: Simplify right side
    1,625.04x = 1,851,599.04
  5. Step 5: Solve for x
    x = 1,851,599.04/1,625.04
  6. Step 6: Final answer
    x = 1,139.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.