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Finding the Fourth Proportional to 3,146, 4,341.48 and 1,749.02

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Solution

The fourth proportional to 3,146, 4,341.48 and 1,749.02 is: 2,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 4,341.48 = 1,749.02 : x
  2. Step 2: Convert to fraction form
    3,146/4,341.48 = 1,749.02/x
  3. Step 3: Cross multiply
    3,146x = 4,341.48 × 1,749.02
  4. Step 4: Simplify right side
    3,146x = 7,593,335.35
  5. Step 5: Solve for x
    x = 7,593,335.35/3,146
  6. Step 6: Final answer
    x = 2,413.65

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