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Finding the Fourth Proportional to 2,541.34, 3,507.03 and 1,546.42

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Solution

The fourth proportional to 2,541.34, 3,507.03 and 1,546.42 is: 2,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.34 : 3,507.03 = 1,546.42 : x
  2. Step 2: Convert to fraction form
    2,541.34/3,507.03 = 1,546.42/x
  3. Step 3: Cross multiply
    2,541.34x = 3,507.03 × 1,546.42
  4. Step 4: Simplify right side
    2,541.34x = 5,423,332.57
  5. Step 5: Solve for x
    x = 5,423,332.57/2,541.34
  6. Step 6: Final answer
    x = 2,134.05

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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.