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Finding the Fourth Proportional to 2,430.87, 3,645.92 and 870.61

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Solution

The fourth proportional to 2,430.87, 3,645.92 and 870.61 is: 1,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.87 : 3,645.92 = 870.61 : x
  2. Step 2: Convert to fraction form
    2,430.87/3,645.92 = 870.61/x
  3. Step 3: Cross multiply
    2,430.87x = 3,645.92 × 870.61
  4. Step 4: Simplify right side
    2,430.87x = 3,174,174.41
  5. Step 5: Solve for x
    x = 3,174,174.41/2,430.87
  6. Step 6: Final answer
    x = 1,305.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.