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Finding the Fourth Proportional to 3,146.14, 4,341.18 and 1,748.89

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Solution

The fourth proportional to 3,146.14, 4,341.18 and 1,748.89 is: 2,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.14 : 4,341.18 = 1,748.89 : x
  2. Step 2: Convert to fraction form
    3,146.14/4,341.18 = 1,748.89/x
  3. Step 3: Cross multiply
    3,146.14x = 4,341.18 × 1,748.89
  4. Step 4: Simplify right side
    3,146.14x = 7,592,246.29
  5. Step 5: Solve for x
    x = 7,592,246.29/3,146.14
  6. Step 6: Final answer
    x = 2,413.19

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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.