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Finding the Fourth Proportional to 2,078.95, 2,869.02 and 1,194.93

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Solution

The fourth proportional to 2,078.95, 2,869.02 and 1,194.93 is: 1,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.95 : 2,869.02 = 1,194.93 : x
  2. Step 2: Convert to fraction form
    2,078.95/2,869.02 = 1,194.93/x
  3. Step 3: Cross multiply
    2,078.95x = 2,869.02 × 1,194.93
  4. Step 4: Simplify right side
    2,078.95x = 3,428,278.07
  5. Step 5: Solve for x
    x = 3,428,278.07/2,078.95
  6. Step 6: Final answer
    x = 1,649.04

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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.