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Finding the Fourth Proportional to 2,730.69, 4,096.56 and 975.77

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Solution

The fourth proportional to 2,730.69, 4,096.56 and 975.77 is: 1,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.69 : 4,096.56 = 975.77 : x
  2. Step 2: Convert to fraction form
    2,730.69/4,096.56 = 975.77/x
  3. Step 3: Cross multiply
    2,730.69x = 4,096.56 × 975.77
  4. Step 4: Simplify right side
    2,730.69x = 3,997,279.87
  5. Step 5: Solve for x
    x = 3,997,279.87/2,730.69
  6. Step 6: Final answer
    x = 1,463.84

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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.