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Finding the Fourth Proportional to 2,102.04, 3,155.22 and 2,024.28

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Solution

The fourth proportional to 2,102.04, 3,155.22 and 2,024.28 is: 3,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.04 : 3,155.22 = 2,024.28 : x
  2. Step 2: Convert to fraction form
    2,102.04/3,155.22 = 2,024.28/x
  3. Step 3: Cross multiply
    2,102.04x = 3,155.22 × 2,024.28
  4. Step 4: Simplify right side
    2,102.04x = 6,387,048.74
  5. Step 5: Solve for x
    x = 6,387,048.74/2,102.04
  6. Step 6: Final answer
    x = 3,038.50

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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.