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Finding the Fourth Proportional to 1,886.21, 2,828.21 and 569.57

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Solution

The fourth proportional to 1,886.21, 2,828.21 and 569.57 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.21 : 2,828.21 = 569.57 : x
  2. Step 2: Convert to fraction form
    1,886.21/2,828.21 = 569.57/x
  3. Step 3: Cross multiply
    1,886.21x = 2,828.21 × 569.57
  4. Step 4: Simplify right side
    1,886.21x = 1,610,846.58
  5. Step 5: Solve for x
    x = 1,610,846.58/1,886.21
  6. Step 6: Final answer
    x = 854.01

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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.