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Finding the Fourth Proportional to 2,189.59, 3,016.50 and 1,525.24

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Solution

The fourth proportional to 2,189.59, 3,016.50 and 1,525.24 is: 2,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.59 : 3,016.50 = 1,525.24 : x
  2. Step 2: Convert to fraction form
    2,189.59/3,016.50 = 1,525.24/x
  3. Step 3: Cross multiply
    2,189.59x = 3,016.50 × 1,525.24
  4. Step 4: Simplify right side
    2,189.59x = 4,600,886.46
  5. Step 5: Solve for x
    x = 4,600,886.46/2,189.59
  6. Step 6: Final answer
    x = 2,101.25

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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.