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Finding the Fourth Proportional to 1,544.36, 2,316.92 and 448.74

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Solution

The fourth proportional to 1,544.36, 2,316.92 and 448.74 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.36 : 2,316.92 = 448.74 : x
  2. Step 2: Convert to fraction form
    1,544.36/2,316.92 = 448.74/x
  3. Step 3: Cross multiply
    1,544.36x = 2,316.92 × 448.74
  4. Step 4: Simplify right side
    1,544.36x = 1,039,683.10
  5. Step 5: Solve for x
    x = 1,039,683.10/1,544.36
  6. Step 6: Final answer
    x = 673.21

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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.