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Finding the Fourth Proportional to 2,788.33, 3,848.01 and 1,529.50

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Solution

The fourth proportional to 2,788.33, 3,848.01 and 1,529.50 is: 2,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.33 : 3,848.01 = 1,529.50 : x
  2. Step 2: Convert to fraction form
    2,788.33/3,848.01 = 1,529.50/x
  3. Step 3: Cross multiply
    2,788.33x = 3,848.01 × 1,529.50
  4. Step 4: Simplify right side
    2,788.33x = 5,885,531.30
  5. Step 5: Solve for x
    x = 5,885,531.30/2,788.33
  6. Step 6: Final answer
    x = 2,110.77

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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.