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Finding the Fourth Proportional to 2,028, 3,038.07 and 1,332.56

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Solution

The fourth proportional to 2,028, 3,038.07 and 1,332.56 is: 1,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028 : 3,038.07 = 1,332.56 : x
  2. Step 2: Convert to fraction form
    2,028/3,038.07 = 1,332.56/x
  3. Step 3: Cross multiply
    2,028x = 3,038.07 × 1,332.56
  4. Step 4: Simplify right side
    2,028x = 4,048,395.37
  5. Step 5: Solve for x
    x = 4,048,395.37/2,028
  6. Step 6: Final answer
    x = 1,996.25

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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.