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Finding the Fourth Proportional to 1,656.49, 2,286.14 and 993.50

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Solution

The fourth proportional to 1,656.49, 2,286.14 and 993.50 is: 1,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.49 : 2,286.14 = 993.50 : x
  2. Step 2: Convert to fraction form
    1,656.49/2,286.14 = 993.50/x
  3. Step 3: Cross multiply
    1,656.49x = 2,286.14 × 993.50
  4. Step 4: Simplify right side
    1,656.49x = 2,271,280.84
  5. Step 5: Solve for x
    x = 2,271,280.84/1,656.49
  6. Step 6: Final answer
    x = 1,371.14

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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.