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Finding the Fourth Proportional to 1,356.82, 1,873.74 and 1,159.18

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Solution

The fourth proportional to 1,356.82, 1,873.74 and 1,159.18 is: 1,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.82 : 1,873.74 = 1,159.18 : x
  2. Step 2: Convert to fraction form
    1,356.82/1,873.74 = 1,159.18/x
  3. Step 3: Cross multiply
    1,356.82x = 1,873.74 × 1,159.18
  4. Step 4: Simplify right side
    1,356.82x = 2,172,001.93
  5. Step 5: Solve for x
    x = 2,172,001.93/1,356.82
  6. Step 6: Final answer
    x = 1,600.80

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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.