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Finding the Fourth Proportional to 2,010.84, 2,774.86 and 1,102.33

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Solution

The fourth proportional to 2,010.84, 2,774.86 and 1,102.33 is: 1,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.84 : 2,774.86 = 1,102.33 : x
  2. Step 2: Convert to fraction form
    2,010.84/2,774.86 = 1,102.33/x
  3. Step 3: Cross multiply
    2,010.84x = 2,774.86 × 1,102.33
  4. Step 4: Simplify right side
    2,010.84x = 3,058,811.42
  5. Step 5: Solve for x
    x = 3,058,811.42/2,010.84
  6. Step 6: Final answer
    x = 1,521.16

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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.