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Finding the Fourth Proportional to 2,051.32, 2,832.18 and 1,266.52

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Solution

The fourth proportional to 2,051.32, 2,832.18 and 1,266.52 is: 1,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.32 : 2,832.18 = 1,266.52 : x
  2. Step 2: Convert to fraction form
    2,051.32/2,832.18 = 1,266.52/x
  3. Step 3: Cross multiply
    2,051.32x = 2,832.18 × 1,266.52
  4. Step 4: Simplify right side
    2,051.32x = 3,587,012.61
  5. Step 5: Solve for x
    x = 3,587,012.61/2,051.32
  6. Step 6: Final answer
    x = 1,748.64

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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.