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Finding the Fourth Proportional to 1,686.52, 2,328.78 and 1,161.64

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Solution

The fourth proportional to 1,686.52, 2,328.78 and 1,161.64 is: 1,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.52 : 2,328.78 = 1,161.64 : x
  2. Step 2: Convert to fraction form
    1,686.52/2,328.78 = 1,161.64/x
  3. Step 3: Cross multiply
    1,686.52x = 2,328.78 × 1,161.64
  4. Step 4: Simplify right side
    1,686.52x = 2,705,204.00
  5. Step 5: Solve for x
    x = 2,705,204.00/1,686.52
  6. Step 6: Final answer
    x = 1,604.02

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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.