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Finding the Fourth Proportional to 1,477.62, 2,217.24 and 1,048.32

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Solution

The fourth proportional to 1,477.62, 2,217.24 and 1,048.32 is: 1,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.62 : 2,217.24 = 1,048.32 : x
  2. Step 2: Convert to fraction form
    1,477.62/2,217.24 = 1,048.32/x
  3. Step 3: Cross multiply
    1,477.62x = 2,217.24 × 1,048.32
  4. Step 4: Simplify right side
    1,477.62x = 2,324,377.04
  5. Step 5: Solve for x
    x = 2,324,377.04/1,477.62
  6. Step 6: Final answer
    x = 1,573.05

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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.