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Finding the Fourth Proportional to 2,012.14, 3,019.34 and 1,572.16

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Solution

The fourth proportional to 2,012.14, 3,019.34 and 1,572.16 is: 2,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.14 : 3,019.34 = 1,572.16 : x
  2. Step 2: Convert to fraction form
    2,012.14/3,019.34 = 1,572.16/x
  3. Step 3: Cross multiply
    2,012.14x = 3,019.34 × 1,572.16
  4. Step 4: Simplify right side
    2,012.14x = 4,746,870.17
  5. Step 5: Solve for x
    x = 4,746,870.17/2,012.14
  6. Step 6: Final answer
    x = 2,359.12

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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.