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Finding the Fourth Proportional to 2,276.06, 3,413.70 and 632.17

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Solution

The fourth proportional to 2,276.06, 3,413.70 and 632.17 is: 948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.06 : 3,413.70 = 632.17 : x
  2. Step 2: Convert to fraction form
    2,276.06/3,413.70 = 632.17/x
  3. Step 3: Cross multiply
    2,276.06x = 3,413.70 × 632.17
  4. Step 4: Simplify right side
    2,276.06x = 2,158,030.19
  5. Step 5: Solve for x
    x = 2,158,030.19/2,276.06
  6. Step 6: Final answer
    x = 948.14

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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.