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Finding the Fourth Proportional to 2,212.59, 3,315.84 and 1,117.68

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Solution

The fourth proportional to 2,212.59, 3,315.84 and 1,117.68 is: 1,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.59 : 3,315.84 = 1,117.68 : x
  2. Step 2: Convert to fraction form
    2,212.59/3,315.84 = 1,117.68/x
  3. Step 3: Cross multiply
    2,212.59x = 3,315.84 × 1,117.68
  4. Step 4: Simplify right side
    2,212.59x = 3,706,048.05
  5. Step 5: Solve for x
    x = 3,706,048.05/2,212.59
  6. Step 6: Final answer
    x = 1,674.98

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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.