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Finding the Fourth Proportional to 2,111.53, 2,897.88 and 1,987.87

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Solution

The fourth proportional to 2,111.53, 2,897.88 and 1,987.87 is: 2,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.53 : 2,897.88 = 1,987.87 : x
  2. Step 2: Convert to fraction form
    2,111.53/2,897.88 = 1,987.87/x
  3. Step 3: Cross multiply
    2,111.53x = 2,897.88 × 1,987.87
  4. Step 4: Simplify right side
    2,111.53x = 5,760,608.72
  5. Step 5: Solve for x
    x = 5,760,608.72/2,111.53
  6. Step 6: Final answer
    x = 2,728.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.