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Finding the Fourth Proportional to 2,010.61, 3,016.35 and 1,023.57

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Solution

The fourth proportional to 2,010.61, 3,016.35 and 1,023.57 is: 1,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.61 : 3,016.35 = 1,023.57 : x
  2. Step 2: Convert to fraction form
    2,010.61/3,016.35 = 1,023.57/x
  3. Step 3: Cross multiply
    2,010.61x = 3,016.35 × 1,023.57
  4. Step 4: Simplify right side
    2,010.61x = 3,087,445.37
  5. Step 5: Solve for x
    x = 3,087,445.37/2,010.61
  6. Step 6: Final answer
    x = 1,535.58

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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.