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Finding the Fourth Proportional to 2,924.66, 4,036.99 and 2,328.24

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Solution

The fourth proportional to 2,924.66, 4,036.99 and 2,328.24 is: 3,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.66 : 4,036.99 = 2,328.24 : x
  2. Step 2: Convert to fraction form
    2,924.66/4,036.99 = 2,328.24/x
  3. Step 3: Cross multiply
    2,924.66x = 4,036.99 × 2,328.24
  4. Step 4: Simplify right side
    2,924.66x = 9,399,075.78
  5. Step 5: Solve for x
    x = 9,399,075.78/2,924.66
  6. Step 6: Final answer
    x = 3,213.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.