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Finding the Fourth Proportional to 1,810.94, 2,499.11 and 1,025.14

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Solution

The fourth proportional to 1,810.94, 2,499.11 and 1,025.14 is: 1,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.94 : 2,499.11 = 1,025.14 : x
  2. Step 2: Convert to fraction form
    1,810.94/2,499.11 = 1,025.14/x
  3. Step 3: Cross multiply
    1,810.94x = 2,499.11 × 1,025.14
  4. Step 4: Simplify right side
    1,810.94x = 2,561,939.47
  5. Step 5: Solve for x
    x = 2,561,939.47/1,810.94
  6. Step 6: Final answer
    x = 1,414.70

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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.