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Finding the Fourth Proportional to 2,942.53, 4,409.10 and 2,066.50

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Solution

The fourth proportional to 2,942.53, 4,409.10 and 2,066.50 is: 3,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.53 : 4,409.10 = 2,066.50 : x
  2. Step 2: Convert to fraction form
    2,942.53/4,409.10 = 2,066.50/x
  3. Step 3: Cross multiply
    2,942.53x = 4,409.10 × 2,066.50
  4. Step 4: Simplify right side
    2,942.53x = 9,111,405.15
  5. Step 5: Solve for x
    x = 9,111,405.15/2,942.53
  6. Step 6: Final answer
    x = 3,096.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.