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Finding the Fourth Proportional to 1,542.84, 2,129.12 and 844.21

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Solution

The fourth proportional to 1,542.84, 2,129.12 and 844.21 is: 1,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.84 : 2,129.12 = 844.21 : x
  2. Step 2: Convert to fraction form
    1,542.84/2,129.12 = 844.21/x
  3. Step 3: Cross multiply
    1,542.84x = 2,129.12 × 844.21
  4. Step 4: Simplify right side
    1,542.84x = 1,797,424.40
  5. Step 5: Solve for x
    x = 1,797,424.40/1,542.84
  6. Step 6: Final answer
    x = 1,165.01

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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.