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Finding the Fourth Proportional to 2,570.47, 3,856.23 and 815.93

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Solution

The fourth proportional to 2,570.47, 3,856.23 and 815.93 is: 1,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.47 : 3,856.23 = 815.93 : x
  2. Step 2: Convert to fraction form
    2,570.47/3,856.23 = 815.93/x
  3. Step 3: Cross multiply
    2,570.47x = 3,856.23 × 815.93
  4. Step 4: Simplify right side
    2,570.47x = 3,146,413.74
  5. Step 5: Solve for x
    x = 3,146,413.74/2,570.47
  6. Step 6: Final answer
    x = 1,224.06

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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.