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Finding the Fourth Proportional to 2,984.04, 4,472.34 and 2,116.50

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Solution

The fourth proportional to 2,984.04, 4,472.34 and 2,116.50 is: 3,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.04 : 4,472.34 = 2,116.50 : x
  2. Step 2: Convert to fraction form
    2,984.04/4,472.34 = 2,116.50/x
  3. Step 3: Cross multiply
    2,984.04x = 4,472.34 × 2,116.50
  4. Step 4: Simplify right side
    2,984.04x = 9,465,707.61
  5. Step 5: Solve for x
    x = 9,465,707.61/2,984.04
  6. Step 6: Final answer
    x = 3,172.11

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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.