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Finding the Fourth Proportional to 2,010.55, 3,015.55 and 712.93

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Solution

The fourth proportional to 2,010.55, 3,015.55 and 712.93 is: 1,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.55 : 3,015.55 = 712.93 : x
  2. Step 2: Convert to fraction form
    2,010.55/3,015.55 = 712.93/x
  3. Step 3: Cross multiply
    2,010.55x = 3,015.55 × 712.93
  4. Step 4: Simplify right side
    2,010.55x = 2,149,876.06
  5. Step 5: Solve for x
    x = 2,149,876.06/2,010.55
  6. Step 6: Final answer
    x = 1,069.30

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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.