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Finding the Fourth Proportional to 2,490.39, 3,435.84 and 1,651.50

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Solution

The fourth proportional to 2,490.39, 3,435.84 and 1,651.50 is: 2,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.39 : 3,435.84 = 1,651.50 : x
  2. Step 2: Convert to fraction form
    2,490.39/3,435.84 = 1,651.50/x
  3. Step 3: Cross multiply
    2,490.39x = 3,435.84 × 1,651.50
  4. Step 4: Simplify right side
    2,490.39x = 5,674,289.76
  5. Step 5: Solve for x
    x = 5,674,289.76/2,490.39
  6. Step 6: Final answer
    x = 2,278.47

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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.