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Finding the Fourth Proportional to 1,757.67, 2,425.40 and 1,011.48

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Solution

The fourth proportional to 1,757.67, 2,425.40 and 1,011.48 is: 1,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.67 : 2,425.40 = 1,011.48 : x
  2. Step 2: Convert to fraction form
    1,757.67/2,425.40 = 1,011.48/x
  3. Step 3: Cross multiply
    1,757.67x = 2,425.40 × 1,011.48
  4. Step 4: Simplify right side
    1,757.67x = 2,453,252.18
  5. Step 5: Solve for x
    x = 2,453,252.18/1,757.67
  6. Step 6: Final answer
    x = 1,395.74

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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.