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Finding the Fourth Proportional to 2,648.96, 3,655.56 and 1,470.03

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Solution

The fourth proportional to 2,648.96, 3,655.56 and 1,470.03 is: 2,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.96 : 3,655.56 = 1,470.03 : x
  2. Step 2: Convert to fraction form
    2,648.96/3,655.56 = 1,470.03/x
  3. Step 3: Cross multiply
    2,648.96x = 3,655.56 × 1,470.03
  4. Step 4: Simplify right side
    2,648.96x = 5,373,769.16
  5. Step 5: Solve for x
    x = 5,373,769.16/2,648.96
  6. Step 6: Final answer
    x = 2,028.64

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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.