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Finding the Fourth Proportional to 2,225.10, 3,337.69 and 686.06

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Solution

The fourth proportional to 2,225.10, 3,337.69 and 686.06 is: 1,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.10 : 3,337.69 = 686.06 : x
  2. Step 2: Convert to fraction form
    2,225.10/3,337.69 = 686.06/x
  3. Step 3: Cross multiply
    2,225.10x = 3,337.69 × 686.06
  4. Step 4: Simplify right side
    2,225.10x = 2,289,855.60
  5. Step 5: Solve for x
    x = 2,289,855.60/2,225.10
  6. Step 6: Final answer
    x = 1,029.10

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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.