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Finding the Fourth Proportional to 2,460.69, 3,402.30 and 2,149.41

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Solution

The fourth proportional to 2,460.69, 3,402.30 and 2,149.41 is: 2,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.69 : 3,402.30 = 2,149.41 : x
  2. Step 2: Convert to fraction form
    2,460.69/3,402.30 = 2,149.41/x
  3. Step 3: Cross multiply
    2,460.69x = 3,402.30 × 2,149.41
  4. Step 4: Simplify right side
    2,460.69x = 7,312,937.64
  5. Step 5: Solve for x
    x = 7,312,937.64/2,460.69
  6. Step 6: Final answer
    x = 2,971.91

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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.