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Finding the Fourth Proportional to 1,885.78, 2,828.64 and 587.32

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Solution

The fourth proportional to 1,885.78, 2,828.64 and 587.32 is: 880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.78 : 2,828.64 = 587.32 : x
  2. Step 2: Convert to fraction form
    1,885.78/2,828.64 = 587.32/x
  3. Step 3: Cross multiply
    1,885.78x = 2,828.64 × 587.32
  4. Step 4: Simplify right side
    1,885.78x = 1,661,316.84
  5. Step 5: Solve for x
    x = 1,661,316.84/1,885.78
  6. Step 6: Final answer
    x = 880.97

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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.