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Finding the Fourth Proportional to 2,337.68, 3,506.52 and 2,195.12

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Solution

The fourth proportional to 2,337.68, 3,506.52 and 2,195.12 is: 3,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.68 : 3,506.52 = 2,195.12 : x
  2. Step 2: Convert to fraction form
    2,337.68/3,506.52 = 2,195.12/x
  3. Step 3: Cross multiply
    2,337.68x = 3,506.52 × 2,195.12
  4. Step 4: Simplify right side
    2,337.68x = 7,697,232.18
  5. Step 5: Solve for x
    x = 7,697,232.18/2,337.68
  6. Step 6: Final answer
    x = 3,292.68

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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.