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Finding the Fourth Proportional to 1,584.78, 2,186.64 and 886.11

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Solution

The fourth proportional to 1,584.78, 2,186.64 and 886.11 is: 1,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.78 : 2,186.64 = 886.11 : x
  2. Step 2: Convert to fraction form
    1,584.78/2,186.64 = 886.11/x
  3. Step 3: Cross multiply
    1,584.78x = 2,186.64 × 886.11
  4. Step 4: Simplify right side
    1,584.78x = 1,937,603.57
  5. Step 5: Solve for x
    x = 1,937,603.57/1,584.78
  6. Step 6: Final answer
    x = 1,222.63

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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.