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Finding the Fourth Proportional to 2,357.40, 3,250.68 and 1,757.18

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Solution

The fourth proportional to 2,357.40, 3,250.68 and 1,757.18 is: 2,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.40 : 3,250.68 = 1,757.18 : x
  2. Step 2: Convert to fraction form
    2,357.40/3,250.68 = 1,757.18/x
  3. Step 3: Cross multiply
    2,357.40x = 3,250.68 × 1,757.18
  4. Step 4: Simplify right side
    2,357.40x = 5,712,029.88
  5. Step 5: Solve for x
    x = 5,712,029.88/2,357.40
  6. Step 6: Final answer
    x = 2,423.02

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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.