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Finding the Fourth Proportional to 2,646.76, 3,648.32 and 2,086.32

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Solution

The fourth proportional to 2,646.76, 3,648.32 and 2,086.32 is: 2,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.76 : 3,648.32 = 2,086.32 : x
  2. Step 2: Convert to fraction form
    2,646.76/3,648.32 = 2,086.32/x
  3. Step 3: Cross multiply
    2,646.76x = 3,648.32 × 2,086.32
  4. Step 4: Simplify right side
    2,646.76x = 7,611,562.98
  5. Step 5: Solve for x
    x = 7,611,562.98/2,646.76
  6. Step 6: Final answer
    x = 2,875.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.