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Finding the Fourth Proportional to 2,173.86, 3,260.84 and 530.42

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Solution

The fourth proportional to 2,173.86, 3,260.84 and 530.42 is: 795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.86 : 3,260.84 = 530.42 : x
  2. Step 2: Convert to fraction form
    2,173.86/3,260.84 = 530.42/x
  3. Step 3: Cross multiply
    2,173.86x = 3,260.84 × 530.42
  4. Step 4: Simplify right side
    2,173.86x = 1,729,614.75
  5. Step 5: Solve for x
    x = 1,729,614.75/2,173.86
  6. Step 6: Final answer
    x = 795.64

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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.