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Finding the Fourth Proportional to 2,697.34, 4,046.01 and 966.01

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Solution

The fourth proportional to 2,697.34, 4,046.01 and 966.01 is: 1,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.34 : 4,046.01 = 966.01 : x
  2. Step 2: Convert to fraction form
    2,697.34/4,046.01 = 966.01/x
  3. Step 3: Cross multiply
    2,697.34x = 4,046.01 × 966.01
  4. Step 4: Simplify right side
    2,697.34x = 3,908,486.12
  5. Step 5: Solve for x
    x = 3,908,486.12/2,697.34
  6. Step 6: Final answer
    x = 1,449.02

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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.