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Finding the Fourth Proportional to 2,973.39, 4,460.13 and 2,281.29

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Solution

The fourth proportional to 2,973.39, 4,460.13 and 2,281.29 is: 3,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.39 : 4,460.13 = 2,281.29 : x
  2. Step 2: Convert to fraction form
    2,973.39/4,460.13 = 2,281.29/x
  3. Step 3: Cross multiply
    2,973.39x = 4,460.13 × 2,281.29
  4. Step 4: Simplify right side
    2,973.39x = 10,174,849.97
  5. Step 5: Solve for x
    x = 10,174,849.97/2,973.39
  6. Step 6: Final answer
    x = 3,421.97

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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.