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Finding the Fourth Proportional to 2,385.84, 3,578.66 and 742.40

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Solution

The fourth proportional to 2,385.84, 3,578.66 and 742.40 is: 1,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.84 : 3,578.66 = 742.40 : x
  2. Step 2: Convert to fraction form
    2,385.84/3,578.66 = 742.40/x
  3. Step 3: Cross multiply
    2,385.84x = 3,578.66 × 742.40
  4. Step 4: Simplify right side
    2,385.84x = 2,656,797.18
  5. Step 5: Solve for x
    x = 2,656,797.18/2,385.84
  6. Step 6: Final answer
    x = 1,113.57

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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.