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Finding the Fourth Proportional to 1,654.12, 2,283.12 and 946.34

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Solution

The fourth proportional to 1,654.12, 2,283.12 and 946.34 is: 1,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.12 : 2,283.12 = 946.34 : x
  2. Step 2: Convert to fraction form
    1,654.12/2,283.12 = 946.34/x
  3. Step 3: Cross multiply
    1,654.12x = 2,283.12 × 946.34
  4. Step 4: Simplify right side
    1,654.12x = 2,160,607.78
  5. Step 5: Solve for x
    x = 2,160,607.78/1,654.12
  6. Step 6: Final answer
    x = 1,306.20

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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.