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Finding the Fourth Proportional to 2,448.46, 3,673.06 and 888.58

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Solution

The fourth proportional to 2,448.46, 3,673.06 and 888.58 is: 1,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.46 : 3,673.06 = 888.58 : x
  2. Step 2: Convert to fraction form
    2,448.46/3,673.06 = 888.58/x
  3. Step 3: Cross multiply
    2,448.46x = 3,673.06 × 888.58
  4. Step 4: Simplify right side
    2,448.46x = 3,263,807.65
  5. Step 5: Solve for x
    x = 3,263,807.65/2,448.46
  6. Step 6: Final answer
    x = 1,333.00

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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.