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Finding the Fourth Proportional to 2,103.51, 3,155.35 and 787.13

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Solution

The fourth proportional to 2,103.51, 3,155.35 and 787.13 is: 1,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.51 : 3,155.35 = 787.13 : x
  2. Step 2: Convert to fraction form
    2,103.51/3,155.35 = 787.13/x
  3. Step 3: Cross multiply
    2,103.51x = 3,155.35 × 787.13
  4. Step 4: Simplify right side
    2,103.51x = 2,483,670.65
  5. Step 5: Solve for x
    x = 2,483,670.65/2,103.51
  6. Step 6: Final answer
    x = 1,180.73

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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.