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Finding the Fourth Proportional to 1,886.92, 2,580.85 and 1,856.68

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Solution

The fourth proportional to 1,886.92, 2,580.85 and 1,856.68 is: 2,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.92 : 2,580.85 = 1,856.68 : x
  2. Step 2: Convert to fraction form
    1,886.92/2,580.85 = 1,856.68/x
  3. Step 3: Cross multiply
    1,886.92x = 2,580.85 × 1,856.68
  4. Step 4: Simplify right side
    1,886.92x = 4,791,812.58
  5. Step 5: Solve for x
    x = 4,791,812.58/1,886.92
  6. Step 6: Final answer
    x = 2,539.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.