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Finding the Fourth Proportional to 1,886.25, 2,829.54 and 587.73

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Solution

The fourth proportional to 1,886.25, 2,829.54 and 587.73 is: 881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.25 : 2,829.54 = 587.73 : x
  2. Step 2: Convert to fraction form
    1,886.25/2,829.54 = 587.73/x
  3. Step 3: Cross multiply
    1,886.25x = 2,829.54 × 587.73
  4. Step 4: Simplify right side
    1,886.25x = 1,663,005.54
  5. Step 5: Solve for x
    x = 1,663,005.54/1,886.25
  6. Step 6: Final answer
    x = 881.65

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