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Finding the Fourth Proportional to 2,035.83, 2,809.70 and 1,151.63

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Solution

The fourth proportional to 2,035.83, 2,809.70 and 1,151.63 is: 1,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.83 : 2,809.70 = 1,151.63 : x
  2. Step 2: Convert to fraction form
    2,035.83/2,809.70 = 1,151.63/x
  3. Step 3: Cross multiply
    2,035.83x = 2,809.70 × 1,151.63
  4. Step 4: Simplify right side
    2,035.83x = 3,235,734.81
  5. Step 5: Solve for x
    x = 3,235,734.81/2,035.83
  6. Step 6: Final answer
    x = 1,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.