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Finding the Fourth Proportional to 1,941.18, 2,910.80 and 967.82

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Solution

The fourth proportional to 1,941.18, 2,910.80 and 967.82 is: 1,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.18 : 2,910.80 = 967.82 : x
  2. Step 2: Convert to fraction form
    1,941.18/2,910.80 = 967.82/x
  3. Step 3: Cross multiply
    1,941.18x = 2,910.80 × 967.82
  4. Step 4: Simplify right side
    1,941.18x = 2,817,130.46
  5. Step 5: Solve for x
    x = 2,817,130.46/1,941.18
  6. Step 6: Final answer
    x = 1,451.25

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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.