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Finding the Fourth Proportional to 1,477.73, 2,026.03 and 1,451.40

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Solution

The fourth proportional to 1,477.73, 2,026.03 and 1,451.40 is: 1,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.73 : 2,026.03 = 1,451.40 : x
  2. Step 2: Convert to fraction form
    1,477.73/2,026.03 = 1,451.40/x
  3. Step 3: Cross multiply
    1,477.73x = 2,026.03 × 1,451.40
  4. Step 4: Simplify right side
    1,477.73x = 2,940,579.94
  5. Step 5: Solve for x
    x = 2,940,579.94/1,477.73
  6. Step 6: Final answer
    x = 1,989.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.