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Finding the Fourth Proportional to 2,001.42, 2,762.01 and 1,117.22

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Solution

The fourth proportional to 2,001.42, 2,762.01 and 1,117.22 is: 1,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.42 : 2,762.01 = 1,117.22 : x
  2. Step 2: Convert to fraction form
    2,001.42/2,762.01 = 1,117.22/x
  3. Step 3: Cross multiply
    2,001.42x = 2,762.01 × 1,117.22
  4. Step 4: Simplify right side
    2,001.42x = 3,085,759.00
  5. Step 5: Solve for x
    x = 3,085,759.00/2,001.42
  6. Step 6: Final answer
    x = 1,541.78

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