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Finding the Fourth Proportional to 2,388.40, 3,295.72 and 1,340.24

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Solution

The fourth proportional to 2,388.40, 3,295.72 and 1,340.24 is: 1,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.40 : 3,295.72 = 1,340.24 : x
  2. Step 2: Convert to fraction form
    2,388.40/3,295.72 = 1,340.24/x
  3. Step 3: Cross multiply
    2,388.40x = 3,295.72 × 1,340.24
  4. Step 4: Simplify right side
    2,388.40x = 4,417,055.77
  5. Step 5: Solve for x
    x = 4,417,055.77/2,388.40
  6. Step 6: Final answer
    x = 1,849.38

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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.