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Finding the Fourth Proportional to 2,437.80, 3,362.58 and 1,443

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Solution

The fourth proportional to 2,437.80, 3,362.58 and 1,443 is: 1,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.80 : 3,362.58 = 1,443 : x
  2. Step 2: Convert to fraction form
    2,437.80/3,362.58 = 1,443/x
  3. Step 3: Cross multiply
    2,437.80x = 3,362.58 × 1,443
  4. Step 4: Simplify right side
    2,437.80x = 4,852,202.94
  5. Step 5: Solve for x
    x = 4,852,202.94/2,437.80
  6. Step 6: Final answer
    x = 1,990.40

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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.