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Finding the Fourth Proportional to 2,069.24, 3,103.70 and 530.20

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Solution

The fourth proportional to 2,069.24, 3,103.70 and 530.20 is: 795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.24 : 3,103.70 = 530.20 : x
  2. Step 2: Convert to fraction form
    2,069.24/3,103.70 = 530.20/x
  3. Step 3: Cross multiply
    2,069.24x = 3,103.70 × 530.20
  4. Step 4: Simplify right side
    2,069.24x = 1,645,581.74
  5. Step 5: Solve for x
    x = 1,645,581.74/2,069.24
  6. Step 6: Final answer
    x = 795.26

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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.