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Finding the Fourth Proportional to 3,070.14, 4,605.81 and 1,315.14

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Solution

The fourth proportional to 3,070.14, 4,605.81 and 1,315.14 is: 1,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.14 : 4,605.81 = 1,315.14 : x
  2. Step 2: Convert to fraction form
    3,070.14/4,605.81 = 1,315.14/x
  3. Step 3: Cross multiply
    3,070.14x = 4,605.81 × 1,315.14
  4. Step 4: Simplify right side
    3,070.14x = 6,057,284.96
  5. Step 5: Solve for x
    x = 6,057,284.96/3,070.14
  6. Step 6: Final answer
    x = 1,972.97

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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.