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Finding the Fourth Proportional to 2,652.48, 3,978.74 and 803.60

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Solution

The fourth proportional to 2,652.48, 3,978.74 and 803.60 is: 1,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.48 : 3,978.74 = 803.60 : x
  2. Step 2: Convert to fraction form
    2,652.48/3,978.74 = 803.60/x
  3. Step 3: Cross multiply
    2,652.48x = 3,978.74 × 803.60
  4. Step 4: Simplify right side
    2,652.48x = 3,197,315.46
  5. Step 5: Solve for x
    x = 3,197,315.46/2,652.48
  6. Step 6: Final answer
    x = 1,205.41

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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.