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Finding the Fourth Proportional to 3,117.90, 4,678.05 and 2,143.50

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Solution

The fourth proportional to 3,117.90, 4,678.05 and 2,143.50 is: 3,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.90 : 4,678.05 = 2,143.50 : x
  2. Step 2: Convert to fraction form
    3,117.90/4,678.05 = 2,143.50/x
  3. Step 3: Cross multiply
    3,117.90x = 4,678.05 × 2,143.50
  4. Step 4: Simplify right side
    3,117.90x = 10,027,400.18
  5. Step 5: Solve for x
    x = 10,027,400.18/3,117.90
  6. Step 6: Final answer
    x = 3,216.07

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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.