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Finding the Fourth Proportional to 1,578.44, 2,177.69 and 948.48

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Solution

The fourth proportional to 1,578.44, 2,177.69 and 948.48 is: 1,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.44 : 2,177.69 = 948.48 : x
  2. Step 2: Convert to fraction form
    1,578.44/2,177.69 = 948.48/x
  3. Step 3: Cross multiply
    1,578.44x = 2,177.69 × 948.48
  4. Step 4: Simplify right side
    1,578.44x = 2,065,495.41
  5. Step 5: Solve for x
    x = 2,065,495.41/1,578.44
  6. Step 6: Final answer
    x = 1,308.57

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1.5x scale

Why These Related Problems?

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