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Finding the Fourth Proportional to 2,174.06, 3,261.08 and 530.62

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Solution

The fourth proportional to 2,174.06, 3,261.08 and 530.62 is: 795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.06 : 3,261.08 = 530.62 : x
  2. Step 2: Convert to fraction form
    2,174.06/3,261.08 = 530.62/x
  3. Step 3: Cross multiply
    2,174.06x = 3,261.08 × 530.62
  4. Step 4: Simplify right side
    2,174.06x = 1,730,394.27
  5. Step 5: Solve for x
    x = 1,730,394.27/2,174.06
  6. Step 6: Final answer
    x = 795.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.