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Finding the Fourth Proportional to 2,158.28, 2,975.68 and 1,654.71

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Solution

The fourth proportional to 2,158.28, 2,975.68 and 1,654.71 is: 2,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.28 : 2,975.68 = 1,654.71 : x
  2. Step 2: Convert to fraction form
    2,158.28/2,975.68 = 1,654.71/x
  3. Step 3: Cross multiply
    2,158.28x = 2,975.68 × 1,654.71
  4. Step 4: Simplify right side
    2,158.28x = 4,923,883.32
  5. Step 5: Solve for x
    x = 4,923,883.32/2,158.28
  6. Step 6: Final answer
    x = 2,281.40

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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.