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Finding the Fourth Proportional to 2,337.34, 3,506.01 and 2,266.06

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Solution

The fourth proportional to 2,337.34, 3,506.01 and 2,266.06 is: 3,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.34 : 3,506.01 = 2,266.06 : x
  2. Step 2: Convert to fraction form
    2,337.34/3,506.01 = 2,266.06/x
  3. Step 3: Cross multiply
    2,337.34x = 3,506.01 × 2,266.06
  4. Step 4: Simplify right side
    2,337.34x = 7,944,829.02
  5. Step 5: Solve for x
    x = 7,944,829.02/2,337.34
  6. Step 6: Final answer
    x = 3,399.09

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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.