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Finding the Fourth Proportional to 1,869.33, 2,804.04 and 894.36

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Solution

The fourth proportional to 1,869.33, 2,804.04 and 894.36 is: 1,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.33 : 2,804.04 = 894.36 : x
  2. Step 2: Convert to fraction form
    1,869.33/2,804.04 = 894.36/x
  3. Step 3: Cross multiply
    1,869.33x = 2,804.04 × 894.36
  4. Step 4: Simplify right side
    1,869.33x = 2,507,821.21
  5. Step 5: Solve for x
    x = 2,507,821.21/1,869.33
  6. Step 6: Final answer
    x = 1,341.56

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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.