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Finding the Fourth Proportional to 2,009.93, 2,774 and 1,159.03

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Solution

The fourth proportional to 2,009.93, 2,774 and 1,159.03 is: 1,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.93 : 2,774 = 1,159.03 : x
  2. Step 2: Convert to fraction form
    2,009.93/2,774 = 1,159.03/x
  3. Step 3: Cross multiply
    2,009.93x = 2,774 × 1,159.03
  4. Step 4: Simplify right side
    2,009.93x = 3,215,149.22
  5. Step 5: Solve for x
    x = 3,215,149.22/2,009.93
  6. Step 6: Final answer
    x = 1,599.63

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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.