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Finding the Fourth Proportional to 2,015.40, 3,024.36 and 861.16

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Solution

The fourth proportional to 2,015.40, 3,024.36 and 861.16 is: 1,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.40 : 3,024.36 = 861.16 : x
  2. Step 2: Convert to fraction form
    2,015.40/3,024.36 = 861.16/x
  3. Step 3: Cross multiply
    2,015.40x = 3,024.36 × 861.16
  4. Step 4: Simplify right side
    2,015.40x = 2,604,457.86
  5. Step 5: Solve for x
    x = 2,604,457.86/2,015.40
  6. Step 6: Final answer
    x = 1,292.28

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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.