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Finding the Fourth Proportional to 2,012.70, 2,774.58 and 1,413.30

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Solution

The fourth proportional to 2,012.70, 2,774.58 and 1,413.30 is: 1,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.70 : 2,774.58 = 1,413.30 : x
  2. Step 2: Convert to fraction form
    2,012.70/2,774.58 = 1,413.30/x
  3. Step 3: Cross multiply
    2,012.70x = 2,774.58 × 1,413.30
  4. Step 4: Simplify right side
    2,012.70x = 3,921,313.91
  5. Step 5: Solve for x
    x = 3,921,313.91/2,012.70
  6. Step 6: Final answer
    x = 1,948.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.