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Finding the Fourth Proportional to 1,346.74, 1,853.82 and 1,160.84

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Solution

The fourth proportional to 1,346.74, 1,853.82 and 1,160.84 is: 1,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.74 : 1,853.82 = 1,160.84 : x
  2. Step 2: Convert to fraction form
    1,346.74/1,853.82 = 1,160.84/x
  3. Step 3: Cross multiply
    1,346.74x = 1,853.82 × 1,160.84
  4. Step 4: Simplify right side
    1,346.74x = 2,151,993.04
  5. Step 5: Solve for x
    x = 2,151,993.04/1,346.74
  6. Step 6: Final answer
    x = 1,597.93

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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.