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Finding the Fourth Proportional to 1,886.78, 2,830.14 and 588.32

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Solution

The fourth proportional to 1,886.78, 2,830.14 and 588.32 is: 882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.78 : 2,830.14 = 588.32 : x
  2. Step 2: Convert to fraction form
    1,886.78/2,830.14 = 588.32/x
  3. Step 3: Cross multiply
    1,886.78x = 2,830.14 × 588.32
  4. Step 4: Simplify right side
    1,886.78x = 1,665,027.96
  5. Step 5: Solve for x
    x = 1,665,027.96/1,886.78
  6. Step 6: Final answer
    x = 882.47

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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.