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Finding the Fourth Proportional to 3,146.36, 4,341.98 and 1,749.11

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Solution

The fourth proportional to 3,146.36, 4,341.98 and 1,749.11 is: 2,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.36 : 4,341.98 = 1,749.11 : x
  2. Step 2: Convert to fraction form
    3,146.36/4,341.98 = 1,749.11/x
  3. Step 3: Cross multiply
    3,146.36x = 4,341.98 × 1,749.11
  4. Step 4: Simplify right side
    3,146.36x = 7,594,583.30
  5. Step 5: Solve for x
    x = 7,594,583.30/3,146.36
  6. Step 6: Final answer
    x = 2,413.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.