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Finding the Fourth Proportional to 2,264.40, 3,393.40 and 1,674.80

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Solution

The fourth proportional to 2,264.40, 3,393.40 and 1,674.80 is: 2,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.40 : 3,393.40 = 1,674.80 : x
  2. Step 2: Convert to fraction form
    2,264.40/3,393.40 = 1,674.80/x
  3. Step 3: Cross multiply
    2,264.40x = 3,393.40 × 1,674.80
  4. Step 4: Simplify right side
    2,264.40x = 5,683,266.32
  5. Step 5: Solve for x
    x = 5,683,266.32/2,264.40
  6. Step 6: Final answer
    x = 2,509.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.