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Finding the Fourth Proportional to 2,971.62, 4,098.62 and 2,502.02

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Solution

The fourth proportional to 2,971.62, 4,098.62 and 2,502.02 is: 3,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.62 : 4,098.62 = 2,502.02 : x
  2. Step 2: Convert to fraction form
    2,971.62/4,098.62 = 2,502.02/x
  3. Step 3: Cross multiply
    2,971.62x = 4,098.62 × 2,502.02
  4. Step 4: Simplify right side
    2,971.62x = 10,254,829.21
  5. Step 5: Solve for x
    x = 10,254,829.21/2,971.62
  6. Step 6: Final answer
    x = 3,450.92

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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.