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Finding the Fourth Proportional to 2,225.84, 3,340.77 and 1,186.71

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Solution

The fourth proportional to 2,225.84, 3,340.77 and 1,186.71 is: 1,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.84 : 3,340.77 = 1,186.71 : x
  2. Step 2: Convert to fraction form
    2,225.84/3,340.77 = 1,186.71/x
  3. Step 3: Cross multiply
    2,225.84x = 3,340.77 × 1,186.71
  4. Step 4: Simplify right side
    2,225.84x = 3,964,525.17
  5. Step 5: Solve for x
    x = 3,964,525.17/2,225.84
  6. Step 6: Final answer
    x = 1,781.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.