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Finding the Fourth Proportional to 1,317.12, 1,819.22 and 1,159.88

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Solution

The fourth proportional to 1,317.12, 1,819.22 and 1,159.88 is: 1,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.12 : 1,819.22 = 1,159.88 : x
  2. Step 2: Convert to fraction form
    1,317.12/1,819.22 = 1,159.88/x
  3. Step 3: Cross multiply
    1,317.12x = 1,819.22 × 1,159.88
  4. Step 4: Simplify right side
    1,317.12x = 2,110,076.89
  5. Step 5: Solve for x
    x = 2,110,076.89/1,317.12
  6. Step 6: Final answer
    x = 1,602.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.