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Finding the Fourth Proportional to 1,477.52, 2,208.21 and 1,360.76

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Solution

The fourth proportional to 1,477.52, 2,208.21 and 1,360.76 is: 2,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.52 : 2,208.21 = 1,360.76 : x
  2. Step 2: Convert to fraction form
    1,477.52/2,208.21 = 1,360.76/x
  3. Step 3: Cross multiply
    1,477.52x = 2,208.21 × 1,360.76
  4. Step 4: Simplify right side
    1,477.52x = 3,004,843.84
  5. Step 5: Solve for x
    x = 3,004,843.84/1,477.52
  6. Step 6: Final answer
    x = 2,033.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.