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Finding the Fourth Proportional to 2,924.46, 4,386.07 and 844.08

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Solution

The fourth proportional to 2,924.46, 4,386.07 and 844.08 is: 1,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.46 : 4,386.07 = 844.08 : x
  2. Step 2: Convert to fraction form
    2,924.46/4,386.07 = 844.08/x
  3. Step 3: Cross multiply
    2,924.46x = 4,386.07 × 844.08
  4. Step 4: Simplify right side
    2,924.46x = 3,702,167.81
  5. Step 5: Solve for x
    x = 3,702,167.81/2,924.46
  6. Step 6: Final answer
    x = 1,265.93

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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.