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Finding the Fourth Proportional to 2,598.66, 3,893.64 and 1,864.56

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Solution

The fourth proportional to 2,598.66, 3,893.64 and 1,864.56 is: 2,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.66 : 3,893.64 = 1,864.56 : x
  2. Step 2: Convert to fraction form
    2,598.66/3,893.64 = 1,864.56/x
  3. Step 3: Cross multiply
    2,598.66x = 3,893.64 × 1,864.56
  4. Step 4: Simplify right side
    2,598.66x = 7,259,925.40
  5. Step 5: Solve for x
    x = 7,259,925.40/2,598.66
  6. Step 6: Final answer
    x = 2,793.72

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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.