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Finding the Fourth Proportional to 2,541.84, 3,507.56 and 1,423.12

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Solution

The fourth proportional to 2,541.84, 3,507.56 and 1,423.12 is: 1,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.84 : 3,507.56 = 1,423.12 : x
  2. Step 2: Convert to fraction form
    2,541.84/3,507.56 = 1,423.12/x
  3. Step 3: Cross multiply
    2,541.84x = 3,507.56 × 1,423.12
  4. Step 4: Simplify right side
    2,541.84x = 4,991,678.79
  5. Step 5: Solve for x
    x = 4,991,678.79/2,541.84
  6. Step 6: Final answer
    x = 1,963.81

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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.