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Finding the Fourth Proportional to 2,275.38, 3,139.74 and 1,435.77

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Solution

The fourth proportional to 2,275.38, 3,139.74 and 1,435.77 is: 1,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.38 : 3,139.74 = 1,435.77 : x
  2. Step 2: Convert to fraction form
    2,275.38/3,139.74 = 1,435.77/x
  3. Step 3: Cross multiply
    2,275.38x = 3,139.74 × 1,435.77
  4. Step 4: Simplify right side
    2,275.38x = 4,507,944.50
  5. Step 5: Solve for x
    x = 4,507,944.50/2,275.38
  6. Step 6: Final answer
    x = 1,981.18

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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.