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Finding the Fourth Proportional to 2,102.47, 3,154.08 and 786.07

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Solution

The fourth proportional to 2,102.47, 3,154.08 and 786.07 is: 1,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.47 : 3,154.08 = 786.07 : x
  2. Step 2: Convert to fraction form
    2,102.47/3,154.08 = 786.07/x
  3. Step 3: Cross multiply
    2,102.47x = 3,154.08 × 786.07
  4. Step 4: Simplify right side
    2,102.47x = 2,479,327.67
  5. Step 5: Solve for x
    x = 2,479,327.67/2,102.47
  6. Step 6: Final answer
    x = 1,179.25

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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.