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Finding the Fourth Proportional to 2,275.64, 3,413.63 and 1,043.06

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Solution

The fourth proportional to 2,275.64, 3,413.63 and 1,043.06 is: 1,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.64 : 3,413.63 = 1,043.06 : x
  2. Step 2: Convert to fraction form
    2,275.64/3,413.63 = 1,043.06/x
  3. Step 3: Cross multiply
    2,275.64x = 3,413.63 × 1,043.06
  4. Step 4: Simplify right side
    2,275.64x = 3,560,598.62
  5. Step 5: Solve for x
    x = 3,560,598.62/2,275.64
  6. Step 6: Final answer
    x = 1,564.66

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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.