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Finding the Fourth Proportional to 3,120.66, 4,681.26 and 929.41

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Solution

The fourth proportional to 3,120.66, 4,681.26 and 929.41 is: 1,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.66 : 4,681.26 = 929.41 : x
  2. Step 2: Convert to fraction form
    3,120.66/4,681.26 = 929.41/x
  3. Step 3: Cross multiply
    3,120.66x = 4,681.26 × 929.41
  4. Step 4: Simplify right side
    3,120.66x = 4,350,798.15
  5. Step 5: Solve for x
    x = 4,350,798.15/3,120.66
  6. Step 6: Final answer
    x = 1,394.19

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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.