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Finding the Fourth Proportional to 2,374.96, 3,278.98 and 2,125.86

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Solution

The fourth proportional to 2,374.96, 3,278.98 and 2,125.86 is: 2,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.96 : 3,278.98 = 2,125.86 : x
  2. Step 2: Convert to fraction form
    2,374.96/3,278.98 = 2,125.86/x
  3. Step 3: Cross multiply
    2,374.96x = 3,278.98 × 2,125.86
  4. Step 4: Simplify right side
    2,374.96x = 6,970,652.42
  5. Step 5: Solve for x
    x = 6,970,652.42/2,374.96
  6. Step 6: Final answer
    x = 2,935.06

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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.