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Finding the Fourth Proportional to 2,346.58, 3,519.08 and 786.12

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Solution

The fourth proportional to 2,346.58, 3,519.08 and 786.12 is: 1,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.58 : 3,519.08 = 786.12 : x
  2. Step 2: Convert to fraction form
    2,346.58/3,519.08 = 786.12/x
  3. Step 3: Cross multiply
    2,346.58x = 3,519.08 × 786.12
  4. Step 4: Simplify right side
    2,346.58x = 2,766,419.17
  5. Step 5: Solve for x
    x = 2,766,419.17/2,346.58
  6. Step 6: Final answer
    x = 1,178.92

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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.