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Finding the Fourth Proportional to 1,477.08, 2,205.06 and 1,425.78

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Solution

The fourth proportional to 1,477.08, 2,205.06 and 1,425.78 is: 2,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.08 : 2,205.06 = 1,425.78 : x
  2. Step 2: Convert to fraction form
    1,477.08/2,205.06 = 1,425.78/x
  3. Step 3: Cross multiply
    1,477.08x = 2,205.06 × 1,425.78
  4. Step 4: Simplify right side
    1,477.08x = 3,143,930.45
  5. Step 5: Solve for x
    x = 3,143,930.45/1,477.08
  6. Step 6: Final answer
    x = 2,128.48

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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.