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Finding the Fourth Proportional to 1,774.62, 2,449.35 and 1,186.14

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Solution

The fourth proportional to 1,774.62, 2,449.35 and 1,186.14 is: 1,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.62 : 2,449.35 = 1,186.14 : x
  2. Step 2: Convert to fraction form
    1,774.62/2,449.35 = 1,186.14/x
  3. Step 3: Cross multiply
    1,774.62x = 2,449.35 × 1,186.14
  4. Step 4: Simplify right side
    1,774.62x = 2,905,272.01
  5. Step 5: Solve for x
    x = 2,905,272.01/1,774.62
  6. Step 6: Final answer
    x = 1,637.12

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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.