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Finding the Fourth Proportional to 2,541.28, 3,506.88 and 1,437.28

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Solution

The fourth proportional to 2,541.28, 3,506.88 and 1,437.28 is: 1,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.28 : 3,506.88 = 1,437.28 : x
  2. Step 2: Convert to fraction form
    2,541.28/3,506.88 = 1,437.28/x
  3. Step 3: Cross multiply
    2,541.28x = 3,506.88 × 1,437.28
  4. Step 4: Simplify right side
    2,541.28x = 5,040,368.49
  5. Step 5: Solve for x
    x = 5,040,368.49/2,541.28
  6. Step 6: Final answer
    x = 1,983.40

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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.