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Finding the Fourth Proportional to 2,869.53, 4,304.97 and 921.75

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Solution

The fourth proportional to 2,869.53, 4,304.97 and 921.75 is: 1,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.53 : 4,304.97 = 921.75 : x
  2. Step 2: Convert to fraction form
    2,869.53/4,304.97 = 921.75/x
  3. Step 3: Cross multiply
    2,869.53x = 4,304.97 × 921.75
  4. Step 4: Simplify right side
    2,869.53x = 3,968,106.10
  5. Step 5: Solve for x
    x = 3,968,106.10/2,869.53
  6. Step 6: Final answer
    x = 1,382.84

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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.