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Finding the Fourth Proportional to 2,036.64, 2,808.90 and 1,774.20

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Solution

The fourth proportional to 2,036.64, 2,808.90 and 1,774.20 is: 2,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.64 : 2,808.90 = 1,774.20 : x
  2. Step 2: Convert to fraction form
    2,036.64/2,808.90 = 1,774.20/x
  3. Step 3: Cross multiply
    2,036.64x = 2,808.90 × 1,774.20
  4. Step 4: Simplify right side
    2,036.64x = 4,983,550.38
  5. Step 5: Solve for x
    x = 4,983,550.38/2,036.64
  6. Step 6: Final answer
    x = 2,446.95

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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.