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Finding the Fourth Proportional to 2,128.86, 3,187.82 and 1,580.28

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Solution

The fourth proportional to 2,128.86, 3,187.82 and 1,580.28 is: 2,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.86 : 3,187.82 = 1,580.28 : x
  2. Step 2: Convert to fraction form
    2,128.86/3,187.82 = 1,580.28/x
  3. Step 3: Cross multiply
    2,128.86x = 3,187.82 × 1,580.28
  4. Step 4: Simplify right side
    2,128.86x = 5,037,648.19
  5. Step 5: Solve for x
    x = 5,037,648.19/2,128.86
  6. Step 6: Final answer
    x = 2,366.36

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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.