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Finding the Fourth Proportional to 2,152.92, 2,972.45 and 1,654.63

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Solution

The fourth proportional to 2,152.92, 2,972.45 and 1,654.63 is: 2,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.92 : 2,972.45 = 1,654.63 : x
  2. Step 2: Convert to fraction form
    2,152.92/2,972.45 = 1,654.63/x
  3. Step 3: Cross multiply
    2,152.92x = 2,972.45 × 1,654.63
  4. Step 4: Simplify right side
    2,152.92x = 4,918,304.94
  5. Step 5: Solve for x
    x = 4,918,304.94/2,152.92
  6. Step 6: Final answer
    x = 2,284.48

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1.5x scale

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.