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Finding the Fourth Proportional to 3,051.14, 4,570.22 and 2,064.56

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Solution

The fourth proportional to 3,051.14, 4,570.22 and 2,064.56 is: 3,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.14 : 4,570.22 = 2,064.56 : x
  2. Step 2: Convert to fraction form
    3,051.14/4,570.22 = 2,064.56/x
  3. Step 3: Cross multiply
    3,051.14x = 4,570.22 × 2,064.56
  4. Step 4: Simplify right side
    3,051.14x = 9,435,475.71
  5. Step 5: Solve for x
    x = 9,435,475.71/3,051.14
  6. Step 6: Final answer
    x = 3,092.45

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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.