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Finding the Fourth Proportional to 1,656.59, 2,286.19 and 993.40

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Solution

The fourth proportional to 1,656.59, 2,286.19 and 993.40 is: 1,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.59 : 2,286.19 = 993.40 : x
  2. Step 2: Convert to fraction form
    1,656.59/2,286.19 = 993.40/x
  3. Step 3: Cross multiply
    1,656.59x = 2,286.19 × 993.40
  4. Step 4: Simplify right side
    1,656.59x = 2,271,096.67
  5. Step 5: Solve for x
    x = 2,271,096.67/1,656.59
  6. Step 6: Final answer
    x = 1,370.95

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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.