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Finding the Fourth Proportional to 3,129.41, 4,690.47 and 1,828.15

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Solution

The fourth proportional to 3,129.41, 4,690.47 and 1,828.15 is: 2,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.41 : 4,690.47 = 1,828.15 : x
  2. Step 2: Convert to fraction form
    3,129.41/4,690.47 = 1,828.15/x
  3. Step 3: Cross multiply
    3,129.41x = 4,690.47 × 1,828.15
  4. Step 4: Simplify right side
    3,129.41x = 8,574,882.73
  5. Step 5: Solve for x
    x = 8,574,882.73/3,129.41
  6. Step 6: Final answer
    x = 2,740.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.