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Finding the Fourth Proportional to 2,254.70, 3,111.50 and 1,260.02

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Solution

The fourth proportional to 2,254.70, 3,111.50 and 1,260.02 is: 1,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.70 : 3,111.50 = 1,260.02 : x
  2. Step 2: Convert to fraction form
    2,254.70/3,111.50 = 1,260.02/x
  3. Step 3: Cross multiply
    2,254.70x = 3,111.50 × 1,260.02
  4. Step 4: Simplify right side
    2,254.70x = 3,920,563.16
  5. Step 5: Solve for x
    x = 3,920,563.16/2,254.70
  6. Step 6: Final answer
    x = 1,738.84

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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.