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Finding the Fourth Proportional to 2,001.53, 2,762.25 and 1,117.51

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Solution

The fourth proportional to 2,001.53, 2,762.25 and 1,117.51 is: 1,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.53 : 2,762.25 = 1,117.51 : x
  2. Step 2: Convert to fraction form
    2,001.53/2,762.25 = 1,117.51/x
  3. Step 3: Cross multiply
    2,001.53x = 2,762.25 × 1,117.51
  4. Step 4: Simplify right side
    2,001.53x = 3,086,842.00
  5. Step 5: Solve for x
    x = 3,086,842.00/2,001.53
  6. Step 6: Final answer
    x = 1,542.24

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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.