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Finding the Fourth Proportional to 3,190, 4,402.20 and 1,792.76

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Solution

The fourth proportional to 3,190, 4,402.20 and 1,792.76 is: 2,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190 : 4,402.20 = 1,792.76 : x
  2. Step 2: Convert to fraction form
    3,190/4,402.20 = 1,792.76/x
  3. Step 3: Cross multiply
    3,190x = 4,402.20 × 1,792.76
  4. Step 4: Simplify right side
    3,190x = 7,892,088.07
  5. Step 5: Solve for x
    x = 7,892,088.07/3,190
  6. Step 6: Final answer
    x = 2,474.01

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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.