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Finding the Fourth Proportional to 1,489.50, 2,055.61 and 860.15

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Solution

The fourth proportional to 1,489.50, 2,055.61 and 860.15 is: 1,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.50 : 2,055.61 = 860.15 : x
  2. Step 2: Convert to fraction form
    1,489.50/2,055.61 = 860.15/x
  3. Step 3: Cross multiply
    1,489.50x = 2,055.61 × 860.15
  4. Step 4: Simplify right side
    1,489.50x = 1,768,124.37
  5. Step 5: Solve for x
    x = 1,768,124.37/1,489.50
  6. Step 6: Final answer
    x = 1,187.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.