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Finding the Fourth Proportional to 1,869.39, 2,804.07 and 570.87

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Solution

The fourth proportional to 1,869.39, 2,804.07 and 570.87 is: 856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.39 : 2,804.07 = 570.87 : x
  2. Step 2: Convert to fraction form
    1,869.39/2,804.07 = 570.87/x
  3. Step 3: Cross multiply
    1,869.39x = 2,804.07 × 570.87
  4. Step 4: Simplify right side
    1,869.39x = 1,600,759.44
  5. Step 5: Solve for x
    x = 1,600,759.44/1,869.39
  6. Step 6: Final answer
    x = 856.30

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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.