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Finding the Fourth Proportional to 2,828.40, 4,244.40 and 1,530.24

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Solution

The fourth proportional to 2,828.40, 4,244.40 and 1,530.24 is: 2,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.40 : 4,244.40 = 1,530.24 : x
  2. Step 2: Convert to fraction form
    2,828.40/4,244.40 = 1,530.24/x
  3. Step 3: Cross multiply
    2,828.40x = 4,244.40 × 1,530.24
  4. Step 4: Simplify right side
    2,828.40x = 6,494,950.66
  5. Step 5: Solve for x
    x = 6,494,950.66/2,828.40
  6. Step 6: Final answer
    x = 2,296.33

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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.