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Finding the Fourth Proportional to 2,898.74, 4,003.10 and 2,476.62

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Solution

The fourth proportional to 2,898.74, 4,003.10 and 2,476.62 is: 3,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.74 : 4,003.10 = 2,476.62 : x
  2. Step 2: Convert to fraction form
    2,898.74/4,003.10 = 2,476.62/x
  3. Step 3: Cross multiply
    2,898.74x = 4,003.10 × 2,476.62
  4. Step 4: Simplify right side
    2,898.74x = 9,914,157.52
  5. Step 5: Solve for x
    x = 9,914,157.52/2,898.74
  6. Step 6: Final answer
    x = 3,420.16

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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.