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Finding the Fourth Proportional to 1,758.70, 2,427.01 and 962.03

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Solution

The fourth proportional to 1,758.70, 2,427.01 and 962.03 is: 1,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.70 : 2,427.01 = 962.03 : x
  2. Step 2: Convert to fraction form
    1,758.70/2,427.01 = 962.03/x
  3. Step 3: Cross multiply
    1,758.70x = 2,427.01 × 962.03
  4. Step 4: Simplify right side
    1,758.70x = 2,334,856.43
  5. Step 5: Solve for x
    x = 2,334,856.43/1,758.70
  6. Step 6: Final answer
    x = 1,327.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.