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Finding the Fourth Proportional to 1,869.71, 2,804.87 and 570.88

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Solution

The fourth proportional to 1,869.71, 2,804.87 and 570.88 is: 856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.71 : 2,804.87 = 570.88 : x
  2. Step 2: Convert to fraction form
    1,869.71/2,804.87 = 570.88/x
  3. Step 3: Cross multiply
    1,869.71x = 2,804.87 × 570.88
  4. Step 4: Simplify right side
    1,869.71x = 1,601,230.16
  5. Step 5: Solve for x
    x = 1,601,230.16/1,869.71
  6. Step 6: Final answer
    x = 856.41

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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.