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Finding the Fourth Proportional to 2,031.80, 3,048.60 and 935.60

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Solution

The fourth proportional to 2,031.80, 3,048.60 and 935.60 is: 1,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.80 : 3,048.60 = 935.60 : x
  2. Step 2: Convert to fraction form
    2,031.80/3,048.60 = 935.60/x
  3. Step 3: Cross multiply
    2,031.80x = 3,048.60 × 935.60
  4. Step 4: Simplify right side
    2,031.80x = 2,852,270.16
  5. Step 5: Solve for x
    x = 2,852,270.16/2,031.80
  6. Step 6: Final answer
    x = 1,403.81

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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.