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Finding the Fourth Proportional to 1,541.57, 2,127.36 and 878.45

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Solution

The fourth proportional to 1,541.57, 2,127.36 and 878.45 is: 1,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.57 : 2,127.36 = 878.45 : x
  2. Step 2: Convert to fraction form
    1,541.57/2,127.36 = 878.45/x
  3. Step 3: Cross multiply
    1,541.57x = 2,127.36 × 878.45
  4. Step 4: Simplify right side
    1,541.57x = 1,868,772.05
  5. Step 5: Solve for x
    x = 1,868,772.05/1,541.57
  6. Step 6: Final answer
    x = 1,212.26

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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.