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Finding the Fourth Proportional to 1,607.36, 2,217.84 and 986

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Solution

The fourth proportional to 1,607.36, 2,217.84 and 986 is: 1,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.36 : 2,217.84 = 986 : x
  2. Step 2: Convert to fraction form
    1,607.36/2,217.84 = 986/x
  3. Step 3: Cross multiply
    1,607.36x = 2,217.84 × 986
  4. Step 4: Simplify right side
    1,607.36x = 2,186,790.24
  5. Step 5: Solve for x
    x = 2,186,790.24/1,607.36
  6. Step 6: Final answer
    x = 1,360.49

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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.