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Finding the Fourth Proportional to 2,276.10, 3,413.99 and 632.66

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Solution

The fourth proportional to 2,276.10, 3,413.99 and 632.66 is: 948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.10 : 3,413.99 = 632.66 : x
  2. Step 2: Convert to fraction form
    2,276.10/3,413.99 = 632.66/x
  3. Step 3: Cross multiply
    2,276.10x = 3,413.99 × 632.66
  4. Step 4: Simplify right side
    2,276.10x = 2,159,877.84
  5. Step 5: Solve for x
    x = 2,159,877.84/2,276.10
  6. Step 6: Final answer
    x = 948.94

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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.