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Finding the Fourth Proportional to 1,869, 2,804.38 and 714.44

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Solution

The fourth proportional to 1,869, 2,804.38 and 714.44 is: 1,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869 : 2,804.38 = 714.44 : x
  2. Step 2: Convert to fraction form
    1,869/2,804.38 = 714.44/x
  3. Step 3: Cross multiply
    1,869x = 2,804.38 × 714.44
  4. Step 4: Simplify right side
    1,869x = 2,003,561.25
  5. Step 5: Solve for x
    x = 2,003,561.25/1,869
  6. Step 6: Final answer
    x = 1,072.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.