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Finding the Fourth Proportional to 3,043.53, 4,565.97 and 964.17

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Solution

The fourth proportional to 3,043.53, 4,565.97 and 964.17 is: 1,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.53 : 4,565.97 = 964.17 : x
  2. Step 2: Convert to fraction form
    3,043.53/4,565.97 = 964.17/x
  3. Step 3: Cross multiply
    3,043.53x = 4,565.97 × 964.17
  4. Step 4: Simplify right side
    3,043.53x = 4,402,371.29
  5. Step 5: Solve for x
    x = 4,402,371.29/3,043.53
  6. Step 6: Final answer
    x = 1,446.47

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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.