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Finding the Fourth Proportional to 2,733.14, 4,098.66 and 977.48

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Solution

The fourth proportional to 2,733.14, 4,098.66 and 977.48 is: 1,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.14 : 4,098.66 = 977.48 : x
  2. Step 2: Convert to fraction form
    2,733.14/4,098.66 = 977.48/x
  3. Step 3: Cross multiply
    2,733.14x = 4,098.66 × 977.48
  4. Step 4: Simplify right side
    2,733.14x = 4,006,358.18
  5. Step 5: Solve for x
    x = 4,006,358.18/2,733.14
  6. Step 6: Final answer
    x = 1,465.84

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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.