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Finding the Fourth Proportional to 2,616.86, 3,607.74 and 2,242.22

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Solution

The fourth proportional to 2,616.86, 3,607.74 and 2,242.22 is: 3,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.86 : 3,607.74 = 2,242.22 : x
  2. Step 2: Convert to fraction form
    2,616.86/3,607.74 = 2,242.22/x
  3. Step 3: Cross multiply
    2,616.86x = 3,607.74 × 2,242.22
  4. Step 4: Simplify right side
    2,616.86x = 8,089,346.78
  5. Step 5: Solve for x
    x = 8,089,346.78/2,616.86
  6. Step 6: Final answer
    x = 3,091.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.