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Finding the Fourth Proportional to 2,037.95, 3,055.86 and 943.08

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Solution

The fourth proportional to 2,037.95, 3,055.86 and 943.08 is: 1,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.95 : 3,055.86 = 943.08 : x
  2. Step 2: Convert to fraction form
    2,037.95/3,055.86 = 943.08/x
  3. Step 3: Cross multiply
    2,037.95x = 3,055.86 × 943.08
  4. Step 4: Simplify right side
    2,037.95x = 2,881,920.45
  5. Step 5: Solve for x
    x = 2,881,920.45/2,037.95
  6. Step 6: Final answer
    x = 1,414.13

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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.