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Finding the Fourth Proportional to 2,347.24, 3,520.50 and 787.24

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Solution

The fourth proportional to 2,347.24, 3,520.50 and 787.24 is: 1,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.24 : 3,520.50 = 787.24 : x
  2. Step 2: Convert to fraction form
    2,347.24/3,520.50 = 787.24/x
  3. Step 3: Cross multiply
    2,347.24x = 3,520.50 × 787.24
  4. Step 4: Simplify right side
    2,347.24x = 2,771,478.42
  5. Step 5: Solve for x
    x = 2,771,478.42/2,347.24
  6. Step 6: Final answer
    x = 1,180.74

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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.