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Finding the Fourth Proportional to 1,541.51, 2,127.47 and 878.50

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Solution

The fourth proportional to 1,541.51, 2,127.47 and 878.50 is: 1,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.51 : 2,127.47 = 878.50 : x
  2. Step 2: Convert to fraction form
    1,541.51/2,127.47 = 878.50/x
  3. Step 3: Cross multiply
    1,541.51x = 2,127.47 × 878.50
  4. Step 4: Simplify right side
    1,541.51x = 1,868,982.40
  5. Step 5: Solve for x
    x = 1,868,982.40/1,541.51
  6. Step 6: Final answer
    x = 1,212.44

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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.