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Finding the Fourth Proportional to 1,610.60, 2,410.67 and 869.18

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Solution

The fourth proportional to 1,610.60, 2,410.67 and 869.18 is: 1,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.60 : 2,410.67 = 869.18 : x
  2. Step 2: Convert to fraction form
    1,610.60/2,410.67 = 869.18/x
  3. Step 3: Cross multiply
    1,610.60x = 2,410.67 × 869.18
  4. Step 4: Simplify right side
    1,610.60x = 2,095,289.75
  5. Step 5: Solve for x
    x = 2,095,289.75/1,610.60
  6. Step 6: Final answer
    x = 1,300.94

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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.