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Finding the Fourth Proportional to 2,353.88, 3,528.05 and 966.53

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Solution

The fourth proportional to 2,353.88, 3,528.05 and 966.53 is: 1,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.88 : 3,528.05 = 966.53 : x
  2. Step 2: Convert to fraction form
    2,353.88/3,528.05 = 966.53/x
  3. Step 3: Cross multiply
    2,353.88x = 3,528.05 × 966.53
  4. Step 4: Simplify right side
    2,353.88x = 3,409,966.17
  5. Step 5: Solve for x
    x = 3,409,966.17/2,353.88
  6. Step 6: Final answer
    x = 1,448.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.