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Finding the Fourth Proportional to 2,851.80, 4,277.70 and 2,333.40

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Solution

The fourth proportional to 2,851.80, 4,277.70 and 2,333.40 is: 3,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.80 : 4,277.70 = 2,333.40 : x
  2. Step 2: Convert to fraction form
    2,851.80/4,277.70 = 2,333.40/x
  3. Step 3: Cross multiply
    2,851.80x = 4,277.70 × 2,333.40
  4. Step 4: Simplify right side
    2,851.80x = 9,981,585.18
  5. Step 5: Solve for x
    x = 9,981,585.18/2,851.80
  6. Step 6: Final answer
    x = 3,500.10

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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.