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Finding the Fourth Proportional to 1,685.32, 2,324.86 and 986.28

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Solution

The fourth proportional to 1,685.32, 2,324.86 and 986.28 is: 1,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.32 : 2,324.86 = 986.28 : x
  2. Step 2: Convert to fraction form
    1,685.32/2,324.86 = 986.28/x
  3. Step 3: Cross multiply
    1,685.32x = 2,324.86 × 986.28
  4. Step 4: Simplify right side
    1,685.32x = 2,292,962.92
  5. Step 5: Solve for x
    x = 2,292,962.92/1,685.32
  6. Step 6: Final answer
    x = 1,360.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.