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Finding the Fourth Proportional to 3,120.74, 4,681.12 and 1,365.38

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Solution

The fourth proportional to 3,120.74, 4,681.12 and 1,365.38 is: 2,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.74 : 4,681.12 = 1,365.38 : x
  2. Step 2: Convert to fraction form
    3,120.74/4,681.12 = 1,365.38/x
  3. Step 3: Cross multiply
    3,120.74x = 4,681.12 × 1,365.38
  4. Step 4: Simplify right side
    3,120.74x = 6,391,507.63
  5. Step 5: Solve for x
    x = 6,391,507.63/3,120.74
  6. Step 6: Final answer
    x = 2,048.07

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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.