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Finding the Fourth Proportional to 1,643.49, 2,463.03 and 821.52

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Solution

The fourth proportional to 1,643.49, 2,463.03 and 821.52 is: 1,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.49 : 2,463.03 = 821.52 : x
  2. Step 2: Convert to fraction form
    1,643.49/2,463.03 = 821.52/x
  3. Step 3: Cross multiply
    1,643.49x = 2,463.03 × 821.52
  4. Step 4: Simplify right side
    1,643.49x = 2,023,428.41
  5. Step 5: Solve for x
    x = 2,023,428.41/1,643.49
  6. Step 6: Final answer
    x = 1,231.18

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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.