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Finding the Fourth Proportional to 2,049.32, 2,827.25 and 1,262

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Solution

The fourth proportional to 2,049.32, 2,827.25 and 1,262 is: 1,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.32 : 2,827.25 = 1,262 : x
  2. Step 2: Convert to fraction form
    2,049.32/2,827.25 = 1,262/x
  3. Step 3: Cross multiply
    2,049.32x = 2,827.25 × 1,262
  4. Step 4: Simplify right side
    2,049.32x = 3,567,989.50
  5. Step 5: Solve for x
    x = 3,567,989.50/2,049.32
  6. Step 6: Final answer
    x = 1,741.06

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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.