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Finding the Fourth Proportional to 1,549.72, 2,138.23 and 877.53

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Solution

The fourth proportional to 1,549.72, 2,138.23 and 877.53 is: 1,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.72 : 2,138.23 = 877.53 : x
  2. Step 2: Convert to fraction form
    1,549.72/2,138.23 = 877.53/x
  3. Step 3: Cross multiply
    1,549.72x = 2,138.23 × 877.53
  4. Step 4: Simplify right side
    1,549.72x = 1,876,360.97
  5. Step 5: Solve for x
    x = 1,876,360.97/1,549.72
  6. Step 6: Final answer
    x = 1,210.77

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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.