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Finding the Fourth Proportional to 2,415.28, 3,333.36 and 1,531

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Solution

The fourth proportional to 2,415.28, 3,333.36 and 1,531 is: 2,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.28 : 3,333.36 = 1,531 : x
  2. Step 2: Convert to fraction form
    2,415.28/3,333.36 = 1,531/x
  3. Step 3: Cross multiply
    2,415.28x = 3,333.36 × 1,531
  4. Step 4: Simplify right side
    2,415.28x = 5,103,374.16
  5. Step 5: Solve for x
    x = 5,103,374.16/2,415.28
  6. Step 6: Final answer
    x = 2,112.95

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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.