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Finding the Fourth Proportional to 2,882.71, 4,326.63 and 1,497.01

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Solution

The fourth proportional to 2,882.71, 4,326.63 and 1,497.01 is: 2,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.71 : 4,326.63 = 1,497.01 : x
  2. Step 2: Convert to fraction form
    2,882.71/4,326.63 = 1,497.01/x
  3. Step 3: Cross multiply
    2,882.71x = 4,326.63 × 1,497.01
  4. Step 4: Simplify right side
    2,882.71x = 6,476,996.31
  5. Step 5: Solve for x
    x = 6,476,996.31/2,882.71
  6. Step 6: Final answer
    x = 2,246.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.