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Finding the Fourth Proportional to 3,115.56, 4,674.27 and 924.36

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Solution

The fourth proportional to 3,115.56, 4,674.27 and 924.36 is: 1,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.56 : 4,674.27 = 924.36 : x
  2. Step 2: Convert to fraction form
    3,115.56/4,674.27 = 924.36/x
  3. Step 3: Cross multiply
    3,115.56x = 4,674.27 × 924.36
  4. Step 4: Simplify right side
    3,115.56x = 4,320,708.22
  5. Step 5: Solve for x
    x = 4,320,708.22/3,115.56
  6. Step 6: Final answer
    x = 1,386.82

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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.