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Finding the Fourth Proportional to 1,535.34, 2,301.78 and 885.30

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Solution

The fourth proportional to 1,535.34, 2,301.78 and 885.30 is: 1,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.34 : 2,301.78 = 885.30 : x
  2. Step 2: Convert to fraction form
    1,535.34/2,301.78 = 885.30/x
  3. Step 3: Cross multiply
    1,535.34x = 2,301.78 × 885.30
  4. Step 4: Simplify right side
    1,535.34x = 2,037,765.83
  5. Step 5: Solve for x
    x = 2,037,765.83/1,535.34
  6. Step 6: Final answer
    x = 1,327.24

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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.