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Finding the Fourth Proportional to 1,538.55, 2,123.28 and 866.40

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Solution

The fourth proportional to 1,538.55, 2,123.28 and 866.40 is: 1,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.55 : 2,123.28 = 866.40 : x
  2. Step 2: Convert to fraction form
    1,538.55/2,123.28 = 866.40/x
  3. Step 3: Cross multiply
    1,538.55x = 2,123.28 × 866.40
  4. Step 4: Simplify right side
    1,538.55x = 1,839,609.79
  5. Step 5: Solve for x
    x = 1,839,609.79/1,538.55
  6. Step 6: Final answer
    x = 1,195.68

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1.5x scale

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.