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Finding the Fourth Proportional to 1,751.77, 2,624.06 and 1,403.22

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Solution

The fourth proportional to 1,751.77, 2,624.06 and 1,403.22 is: 2,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.77 : 2,624.06 = 1,403.22 : x
  2. Step 2: Convert to fraction form
    1,751.77/2,624.06 = 1,403.22/x
  3. Step 3: Cross multiply
    1,751.77x = 2,624.06 × 1,403.22
  4. Step 4: Simplify right side
    1,751.77x = 3,682,123.86
  5. Step 5: Solve for x
    x = 3,682,123.86/1,751.77
  6. Step 6: Final answer
    x = 2,101.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.