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Finding the Fourth Proportional to 2,292.94, 3,416.81 and 2,218.60

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Solution

The fourth proportional to 2,292.94, 3,416.81 and 2,218.60 is: 3,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.94 : 3,416.81 = 2,218.60 : x
  2. Step 2: Convert to fraction form
    2,292.94/3,416.81 = 2,218.60/x
  3. Step 3: Cross multiply
    2,292.94x = 3,416.81 × 2,218.60
  4. Step 4: Simplify right side
    2,292.94x = 7,580,534.67
  5. Step 5: Solve for x
    x = 7,580,534.67/2,292.94
  6. Step 6: Final answer
    x = 3,306.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.