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Finding the Fourth Proportional to 2,982.54, 4,470.03 and 1,522.11

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Solution

The fourth proportional to 2,982.54, 4,470.03 and 1,522.11 is: 2,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.54 : 4,470.03 = 1,522.11 : x
  2. Step 2: Convert to fraction form
    2,982.54/4,470.03 = 1,522.11/x
  3. Step 3: Cross multiply
    2,982.54x = 4,470.03 × 1,522.11
  4. Step 4: Simplify right side
    2,982.54x = 6,803,877.36
  5. Step 5: Solve for x
    x = 6,803,877.36/2,982.54
  6. Step 6: Final answer
    x = 2,281.24

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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.