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Finding the Fourth Proportional to 2,173.49, 3,260.18 and 530.04

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Solution

The fourth proportional to 2,173.49, 3,260.18 and 530.04 is: 795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.49 : 3,260.18 = 530.04 : x
  2. Step 2: Convert to fraction form
    2,173.49/3,260.18 = 530.04/x
  3. Step 3: Cross multiply
    2,173.49x = 3,260.18 × 530.04
  4. Step 4: Simplify right side
    2,173.49x = 1,728,025.81
  5. Step 5: Solve for x
    x = 1,728,025.81/2,173.49
  6. Step 6: Final answer
    x = 795.05

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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.