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Finding the Fourth Proportional to 2,174.32, 3,261.52 and 530.88

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Solution

The fourth proportional to 2,174.32, 3,261.52 and 530.88 is: 796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.32 : 3,261.52 = 530.88 : x
  2. Step 2: Convert to fraction form
    2,174.32/3,261.52 = 530.88/x
  3. Step 3: Cross multiply
    2,174.32x = 3,261.52 × 530.88
  4. Step 4: Simplify right side
    2,174.32x = 1,731,475.74
  5. Step 5: Solve for x
    x = 1,731,475.74/2,174.32
  6. Step 6: Final answer
    x = 796.33

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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.