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Finding the Fourth Proportional to 2,038.48, 3,055.35 and 940.55

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Solution

The fourth proportional to 2,038.48, 3,055.35 and 940.55 is: 1,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.48 : 3,055.35 = 940.55 : x
  2. Step 2: Convert to fraction form
    2,038.48/3,055.35 = 940.55/x
  3. Step 3: Cross multiply
    2,038.48x = 3,055.35 × 940.55
  4. Step 4: Simplify right side
    2,038.48x = 2,873,697.69
  5. Step 5: Solve for x
    x = 2,873,697.69/2,038.48
  6. Step 6: Final answer
    x = 1,409.73

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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.