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Finding the Fourth Proportional to 2,232.05, 3,347.64 and 751.11

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Solution

The fourth proportional to 2,232.05, 3,347.64 and 751.11 is: 1,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.05 : 3,347.64 = 751.11 : x
  2. Step 2: Convert to fraction form
    2,232.05/3,347.64 = 751.11/x
  3. Step 3: Cross multiply
    2,232.05x = 3,347.64 × 751.11
  4. Step 4: Simplify right side
    2,232.05x = 2,514,445.88
  5. Step 5: Solve for x
    x = 2,514,445.88/2,232.05
  6. Step 6: Final answer
    x = 1,126.52

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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.