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Finding the Fourth Proportional to 3,069.50, 4,605.06 and 1,530.50

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Solution

The fourth proportional to 3,069.50, 4,605.06 and 1,530.50 is: 2,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.50 : 4,605.06 = 1,530.50 : x
  2. Step 2: Convert to fraction form
    3,069.50/4,605.06 = 1,530.50/x
  3. Step 3: Cross multiply
    3,069.50x = 4,605.06 × 1,530.50
  4. Step 4: Simplify right side
    3,069.50x = 7,048,044.33
  5. Step 5: Solve for x
    x = 7,048,044.33/3,069.50
  6. Step 6: Final answer
    x = 2,296.15

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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.