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Finding the Fourth Proportional to 2,652.77, 3,660.84 and 1,533.89

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Solution

The fourth proportional to 2,652.77, 3,660.84 and 1,533.89 is: 2,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.77 : 3,660.84 = 1,533.89 : x
  2. Step 2: Convert to fraction form
    2,652.77/3,660.84 = 1,533.89/x
  3. Step 3: Cross multiply
    2,652.77x = 3,660.84 × 1,533.89
  4. Step 4: Simplify right side
    2,652.77x = 5,615,307.56
  5. Step 5: Solve for x
    x = 5,615,307.56/2,652.77
  6. Step 6: Final answer
    x = 2,116.78

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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.