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Finding the Fourth Proportional to 3,133.98, 4,701.51 and 942.39

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Solution

The fourth proportional to 3,133.98, 4,701.51 and 942.39 is: 1,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.98 : 4,701.51 = 942.39 : x
  2. Step 2: Convert to fraction form
    3,133.98/4,701.51 = 942.39/x
  3. Step 3: Cross multiply
    3,133.98x = 4,701.51 × 942.39
  4. Step 4: Simplify right side
    3,133.98x = 4,430,656.01
  5. Step 5: Solve for x
    x = 4,430,656.01/3,133.98
  6. Step 6: Final answer
    x = 1,413.75

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1.5x scale

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.