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Finding the Fourth Proportional to 1,941.17, 2,911.49 and 625.06

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Solution

The fourth proportional to 1,941.17, 2,911.49 and 625.06 is: 937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.17 : 2,911.49 = 625.06 : x
  2. Step 2: Convert to fraction form
    1,941.17/2,911.49 = 625.06/x
  3. Step 3: Cross multiply
    1,941.17x = 2,911.49 × 625.06
  4. Step 4: Simplify right side
    1,941.17x = 1,819,838.26
  5. Step 5: Solve for x
    x = 1,819,838.26/1,941.17
  6. Step 6: Final answer
    x = 937.50

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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.