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Finding the Fourth Proportional to 3,194.95, 4,407.23 and 1,918.50

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Solution

The fourth proportional to 3,194.95, 4,407.23 and 1,918.50 is: 2,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.95 : 4,407.23 = 1,918.50 : x
  2. Step 2: Convert to fraction form
    3,194.95/4,407.23 = 1,918.50/x
  3. Step 3: Cross multiply
    3,194.95x = 4,407.23 × 1,918.50
  4. Step 4: Simplify right side
    3,194.95x = 8,455,270.76
  5. Step 5: Solve for x
    x = 8,455,270.76/3,194.95
  6. Step 6: Final answer
    x = 2,646.45

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1.5x scale

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.