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Finding the Fourth Proportional to 2,424.64, 3,629.94 and 1,811.08

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Solution

The fourth proportional to 2,424.64, 3,629.94 and 1,811.08 is: 2,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.64 : 3,629.94 = 1,811.08 : x
  2. Step 2: Convert to fraction form
    2,424.64/3,629.94 = 1,811.08/x
  3. Step 3: Cross multiply
    2,424.64x = 3,629.94 × 1,811.08
  4. Step 4: Simplify right side
    2,424.64x = 6,574,111.74
  5. Step 5: Solve for x
    x = 6,574,111.74/2,424.64
  6. Step 6: Final answer
    x = 2,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.