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Finding the Fourth Proportional to 3,101.65, 4,652.50 and 910.42

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Solution

The fourth proportional to 3,101.65, 4,652.50 and 910.42 is: 1,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.65 : 4,652.50 = 910.42 : x
  2. Step 2: Convert to fraction form
    3,101.65/4,652.50 = 910.42/x
  3. Step 3: Cross multiply
    3,101.65x = 4,652.50 × 910.42
  4. Step 4: Simplify right side
    3,101.65x = 4,235,719.69
  5. Step 5: Solve for x
    x = 4,235,719.69/3,101.65
  6. Step 6: Final answer
    x = 1,365.64

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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.