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Finding the Fourth Proportional to 3,061.85, 4,595.10 and 2,242.25

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Solution

The fourth proportional to 3,061.85, 4,595.10 and 2,242.25 is: 3,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.85 : 4,595.10 = 2,242.25 : x
  2. Step 2: Convert to fraction form
    3,061.85/4,595.10 = 2,242.25/x
  3. Step 3: Cross multiply
    3,061.85x = 4,595.10 × 2,242.25
  4. Step 4: Simplify right side
    3,061.85x = 10,303,328.79
  5. Step 5: Solve for x
    x = 10,303,328.79/3,061.85
  6. Step 6: Final answer
    x = 3,365.07

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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.