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Finding the Fourth Proportional to 2,869.31, 4,303.97 and 817.31

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Solution

The fourth proportional to 2,869.31, 4,303.97 and 817.31 is: 1,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.31 : 4,303.97 = 817.31 : x
  2. Step 2: Convert to fraction form
    2,869.31/4,303.97 = 817.31/x
  3. Step 3: Cross multiply
    2,869.31x = 4,303.97 × 817.31
  4. Step 4: Simplify right side
    2,869.31x = 3,517,687.46
  5. Step 5: Solve for x
    x = 3,517,687.46/2,869.31
  6. Step 6: Final answer
    x = 1,225.97

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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.