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Finding the Fourth Proportional to 1,686.90, 2,328.16 and 988.28

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Solution

The fourth proportional to 1,686.90, 2,328.16 and 988.28 is: 1,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.90 : 2,328.16 = 988.28 : x
  2. Step 2: Convert to fraction form
    1,686.90/2,328.16 = 988.28/x
  3. Step 3: Cross multiply
    1,686.90x = 2,328.16 × 988.28
  4. Step 4: Simplify right side
    1,686.90x = 2,300,873.96
  5. Step 5: Solve for x
    x = 2,300,873.96/1,686.90
  6. Step 6: Final answer
    x = 1,363.97

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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.