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Finding the Fourth Proportional to 1,807.98, 2,495.46 and 1,022.49

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Solution

The fourth proportional to 1,807.98, 2,495.46 and 1,022.49 is: 1,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.98 : 2,495.46 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    1,807.98/2,495.46 = 1,022.49/x
  3. Step 3: Cross multiply
    1,807.98x = 2,495.46 × 1,022.49
  4. Step 4: Simplify right side
    1,807.98x = 2,551,582.90
  5. Step 5: Solve for x
    x = 2,551,582.90/1,807.98
  6. Step 6: Final answer
    x = 1,411.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.