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Finding the Fourth Proportional to 2,463.92, 3,398.76 and 1,800

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Solution

The fourth proportional to 2,463.92, 3,398.76 and 1,800 is: 2,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.92 : 3,398.76 = 1,800 : x
  2. Step 2: Convert to fraction form
    2,463.92/3,398.76 = 1,800/x
  3. Step 3: Cross multiply
    2,463.92x = 3,398.76 × 1,800
  4. Step 4: Simplify right side
    2,463.92x = 6,117,768
  5. Step 5: Solve for x
    x = 6,117,768/2,463.92
  6. Step 6: Final answer
    x = 2,482.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.