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Finding the Fourth Proportional to 2,264.58, 3,397.36 and 783.80

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Solution

The fourth proportional to 2,264.58, 3,397.36 and 783.80 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.58 : 3,397.36 = 783.80 : x
  2. Step 2: Convert to fraction form
    2,264.58/3,397.36 = 783.80/x
  3. Step 3: Cross multiply
    2,264.58x = 3,397.36 × 783.80
  4. Step 4: Simplify right side
    2,264.58x = 2,662,850.77
  5. Step 5: Solve for x
    x = 2,662,850.77/2,264.58
  6. Step 6: Final answer
    x = 1,175.87

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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.