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Finding the Fourth Proportional to 2,010.60, 3,015.90 and 712.07

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Solution

The fourth proportional to 2,010.60, 3,015.90 and 712.07 is: 1,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.60 : 3,015.90 = 712.07 : x
  2. Step 2: Convert to fraction form
    2,010.60/3,015.90 = 712.07/x
  3. Step 3: Cross multiply
    2,010.60x = 3,015.90 × 712.07
  4. Step 4: Simplify right side
    2,010.60x = 2,147,531.91
  5. Step 5: Solve for x
    x = 2,147,531.91/2,010.60
  6. Step 6: Final answer
    x = 1,068.11

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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.