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Finding the Fourth Proportional to 1,549.61, 2,138.61 and 886.34

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Solution

The fourth proportional to 1,549.61, 2,138.61 and 886.34 is: 1,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.61 : 2,138.61 = 886.34 : x
  2. Step 2: Convert to fraction form
    1,549.61/2,138.61 = 886.34/x
  3. Step 3: Cross multiply
    1,549.61x = 2,138.61 × 886.34
  4. Step 4: Simplify right side
    1,549.61x = 1,895,528.22
  5. Step 5: Solve for x
    x = 1,895,528.22/1,549.61
  6. Step 6: Final answer
    x = 1,223.23

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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.