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Finding the Fourth Proportional to 2,742.02, 3,783.02 and 1,562.78

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Solution

The fourth proportional to 2,742.02, 3,783.02 and 1,562.78 is: 2,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.02 : 3,783.02 = 1,562.78 : x
  2. Step 2: Convert to fraction form
    2,742.02/3,783.02 = 1,562.78/x
  3. Step 3: Cross multiply
    2,742.02x = 3,783.02 × 1,562.78
  4. Step 4: Simplify right side
    2,742.02x = 5,912,028.00
  5. Step 5: Solve for x
    x = 5,912,028.00/2,742.02
  6. Step 6: Final answer
    x = 2,156.08

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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.