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Finding the Fourth Proportional to 1,216.90, 1,827.51 and 852.40

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Solution

The fourth proportional to 1,216.90, 1,827.51 and 852.40 is: 1,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.90 : 1,827.51 = 852.40 : x
  2. Step 2: Convert to fraction form
    1,216.90/1,827.51 = 852.40/x
  3. Step 3: Cross multiply
    1,216.90x = 1,827.51 × 852.40
  4. Step 4: Simplify right side
    1,216.90x = 1,557,769.52
  5. Step 5: Solve for x
    x = 1,557,769.52/1,216.90
  6. Step 6: Final answer
    x = 1,280.11

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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.