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Finding the Fourth Proportional to 2,173.65, 3,260.45 and 530.21

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Solution

The fourth proportional to 2,173.65, 3,260.45 and 530.21 is: 795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.65 : 3,260.45 = 530.21 : x
  2. Step 2: Convert to fraction form
    2,173.65/3,260.45 = 530.21/x
  3. Step 3: Cross multiply
    2,173.65x = 3,260.45 × 530.21
  4. Step 4: Simplify right side
    2,173.65x = 1,728,704.24
  5. Step 5: Solve for x
    x = 1,728,704.24/2,173.65
  6. Step 6: Final answer
    x = 795.30

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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.