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Finding the Fourth Proportional to 1,544.48, 2,131.52 and 881.54

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Solution

The fourth proportional to 1,544.48, 2,131.52 and 881.54 is: 1,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.48 : 2,131.52 = 881.54 : x
  2. Step 2: Convert to fraction form
    1,544.48/2,131.52 = 881.54/x
  3. Step 3: Cross multiply
    1,544.48x = 2,131.52 × 881.54
  4. Step 4: Simplify right side
    1,544.48x = 1,879,005.08
  5. Step 5: Solve for x
    x = 1,879,005.08/1,544.48
  6. Step 6: Final answer
    x = 1,216.60

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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.