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Finding the Fourth Proportional to 1,654.74, 2,283.17 and 991.48

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Solution

The fourth proportional to 1,654.74, 2,283.17 and 991.48 is: 1,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.74 : 2,283.17 = 991.48 : x
  2. Step 2: Convert to fraction form
    1,654.74/2,283.17 = 991.48/x
  3. Step 3: Cross multiply
    1,654.74x = 2,283.17 × 991.48
  4. Step 4: Simplify right side
    1,654.74x = 2,263,717.39
  5. Step 5: Solve for x
    x = 2,263,717.39/1,654.74
  6. Step 6: Final answer
    x = 1,368.02

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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.