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Finding the Fourth Proportional to 2,588.48, 3,883.36 and 1,202.77

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Solution

The fourth proportional to 2,588.48, 3,883.36 and 1,202.77 is: 1,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.48 : 3,883.36 = 1,202.77 : x
  2. Step 2: Convert to fraction form
    2,588.48/3,883.36 = 1,202.77/x
  3. Step 3: Cross multiply
    2,588.48x = 3,883.36 × 1,202.77
  4. Step 4: Simplify right side
    2,588.48x = 4,670,788.91
  5. Step 5: Solve for x
    x = 4,670,788.91/2,588.48
  6. Step 6: Final answer
    x = 1,804.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.