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Finding the Fourth Proportional to 2,275.86, 3,413.39 and 632.01

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Solution

The fourth proportional to 2,275.86, 3,413.39 and 632.01 is: 947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.86 : 3,413.39 = 632.01 : x
  2. Step 2: Convert to fraction form
    2,275.86/3,413.39 = 632.01/x
  3. Step 3: Cross multiply
    2,275.86x = 3,413.39 × 632.01
  4. Step 4: Simplify right side
    2,275.86x = 2,157,309.81
  5. Step 5: Solve for x
    x = 2,157,309.81/2,275.86
  6. Step 6: Final answer
    x = 947.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.