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Finding the Fourth Proportional to 2,111.76, 2,902.08 and 1,738.08

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Solution

The fourth proportional to 2,111.76, 2,902.08 and 1,738.08 is: 2,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 2,902.08 = 1,738.08 : x
  2. Step 2: Convert to fraction form
    2,111.76/2,902.08 = 1,738.08/x
  3. Step 3: Cross multiply
    2,111.76x = 2,902.08 × 1,738.08
  4. Step 4: Simplify right side
    2,111.76x = 5,044,047.21
  5. Step 5: Solve for x
    x = 5,044,047.21/2,111.76
  6. Step 6: Final answer
    x = 2,388.55

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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.