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Finding the Fourth Proportional to 1,544.48, 2,316.74 and 448.86

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Solution

The fourth proportional to 1,544.48, 2,316.74 and 448.86 is: 673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.48 : 2,316.74 = 448.86 : x
  2. Step 2: Convert to fraction form
    1,544.48/2,316.74 = 448.86/x
  3. Step 3: Cross multiply
    1,544.48x = 2,316.74 × 448.86
  4. Step 4: Simplify right side
    1,544.48x = 1,039,891.92
  5. Step 5: Solve for x
    x = 1,039,891.92/1,544.48
  6. Step 6: Final answer
    x = 673.30

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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.