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Finding the Fourth Proportional to 1,475.01, 2,201.58 and 1,450.71

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Solution

The fourth proportional to 1,475.01, 2,201.58 and 1,450.71 is: 2,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.01 : 2,201.58 = 1,450.71 : x
  2. Step 2: Convert to fraction form
    1,475.01/2,201.58 = 1,450.71/x
  3. Step 3: Cross multiply
    1,475.01x = 2,201.58 × 1,450.71
  4. Step 4: Simplify right side
    1,475.01x = 3,193,854.12
  5. Step 5: Solve for x
    x = 3,193,854.12/1,475.01
  6. Step 6: Final answer
    x = 2,165.31

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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.