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Finding the Fourth Proportional to 1,542.94, 2,314.15 and 618.26

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Solution

The fourth proportional to 1,542.94, 2,314.15 and 618.26 is: 927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.94 : 2,314.15 = 618.26 : x
  2. Step 2: Convert to fraction form
    1,542.94/2,314.15 = 618.26/x
  3. Step 3: Cross multiply
    1,542.94x = 2,314.15 × 618.26
  4. Step 4: Simplify right side
    1,542.94x = 1,430,733.26
  5. Step 5: Solve for x
    x = 1,430,733.26/1,542.94
  6. Step 6: Final answer
    x = 927.28

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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.