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Finding the Fourth Proportional to 1,808.90, 2,496.27 and 1,022.95

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Solution

The fourth proportional to 1,808.90, 2,496.27 and 1,022.95 is: 1,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.90 : 2,496.27 = 1,022.95 : x
  2. Step 2: Convert to fraction form
    1,808.90/2,496.27 = 1,022.95/x
  3. Step 3: Cross multiply
    1,808.90x = 2,496.27 × 1,022.95
  4. Step 4: Simplify right side
    1,808.90x = 2,553,559.40
  5. Step 5: Solve for x
    x = 2,553,559.40/1,808.90
  6. Step 6: Final answer
    x = 1,411.66

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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.