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Finding the Fourth Proportional to 1,757.41, 2,425.70 and 1,011.46

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Solution

The fourth proportional to 1,757.41, 2,425.70 and 1,011.46 is: 1,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.41 : 2,425.70 = 1,011.46 : x
  2. Step 2: Convert to fraction form
    1,757.41/2,425.70 = 1,011.46/x
  3. Step 3: Cross multiply
    1,757.41x = 2,425.70 × 1,011.46
  4. Step 4: Simplify right side
    1,757.41x = 2,453,498.52
  5. Step 5: Solve for x
    x = 2,453,498.52/1,757.41
  6. Step 6: Final answer
    x = 1,396.09

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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.