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Finding the Fourth Proportional to 1,736.40, 2,607.30 and 1,542

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Solution

The fourth proportional to 1,736.40, 2,607.30 and 1,542 is: 2,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.40 : 2,607.30 = 1,542 : x
  2. Step 2: Convert to fraction form
    1,736.40/2,607.30 = 1,542/x
  3. Step 3: Cross multiply
    1,736.40x = 2,607.30 × 1,542
  4. Step 4: Simplify right side
    1,736.40x = 4,020,456.60
  5. Step 5: Solve for x
    x = 4,020,456.60/1,736.40
  6. Step 6: Final answer
    x = 2,315.40

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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.