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Finding the Fourth Proportional to 2,540.16, 3,506 and 1,654.40

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Solution

The fourth proportional to 2,540.16, 3,506 and 1,654.40 is: 2,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.16 : 3,506 = 1,654.40 : x
  2. Step 2: Convert to fraction form
    2,540.16/3,506 = 1,654.40/x
  3. Step 3: Cross multiply
    2,540.16x = 3,506 × 1,654.40
  4. Step 4: Simplify right side
    2,540.16x = 5,800,326.40
  5. Step 5: Solve for x
    x = 5,800,326.40/2,540.16
  6. Step 6: Final answer
    x = 2,283.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.