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Finding the Fourth Proportional to 1,804.98, 2,490.93 and 1,019.04

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Solution

The fourth proportional to 1,804.98, 2,490.93 and 1,019.04 is: 1,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.98 : 2,490.93 = 1,019.04 : x
  2. Step 2: Convert to fraction form
    1,804.98/2,490.93 = 1,019.04/x
  3. Step 3: Cross multiply
    1,804.98x = 2,490.93 × 1,019.04
  4. Step 4: Simplify right side
    1,804.98x = 2,538,357.31
  5. Step 5: Solve for x
    x = 2,538,357.31/1,804.98
  6. Step 6: Final answer
    x = 1,406.31

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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.