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Finding the Fourth Proportional to 2,225.52, 3,338.26 and 1,564.67

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Solution

The fourth proportional to 2,225.52, 3,338.26 and 1,564.67 is: 2,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.52 : 3,338.26 = 1,564.67 : x
  2. Step 2: Convert to fraction form
    2,225.52/3,338.26 = 1,564.67/x
  3. Step 3: Cross multiply
    2,225.52x = 3,338.26 × 1,564.67
  4. Step 4: Simplify right side
    2,225.52x = 5,223,275.27
  5. Step 5: Solve for x
    x = 5,223,275.27/2,225.52
  6. Step 6: Final answer
    x = 2,346.99

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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.