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Finding the Fourth Proportional to 2,387.63, 3,294.93 and 1,340.03

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Solution

The fourth proportional to 2,387.63, 3,294.93 and 1,340.03 is: 1,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.63 : 3,294.93 = 1,340.03 : x
  2. Step 2: Convert to fraction form
    2,387.63/3,294.93 = 1,340.03/x
  3. Step 3: Cross multiply
    2,387.63x = 3,294.93 × 1,340.03
  4. Step 4: Simplify right side
    2,387.63x = 4,415,288.57
  5. Step 5: Solve for x
    x = 4,415,288.57/2,387.63
  6. Step 6: Final answer
    x = 1,849.24

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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.