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Finding the Fourth Proportional to 2,803.52, 4,205.52 and 955.16

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Solution

The fourth proportional to 2,803.52, 4,205.52 and 955.16 is: 1,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.52 : 4,205.52 = 955.16 : x
  2. Step 2: Convert to fraction form
    2,803.52/4,205.52 = 955.16/x
  3. Step 3: Cross multiply
    2,803.52x = 4,205.52 × 955.16
  4. Step 4: Simplify right side
    2,803.52x = 4,016,944.48
  5. Step 5: Solve for x
    x = 4,016,944.48/2,803.52
  6. Step 6: Final answer
    x = 1,432.82

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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.