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Finding the Fourth Proportional to 3,083.65, 4,254.18 and 1,823.76

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Solution

The fourth proportional to 3,083.65, 4,254.18 and 1,823.76 is: 2,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.65 : 4,254.18 = 1,823.76 : x
  2. Step 2: Convert to fraction form
    3,083.65/4,254.18 = 1,823.76/x
  3. Step 3: Cross multiply
    3,083.65x = 4,254.18 × 1,823.76
  4. Step 4: Simplify right side
    3,083.65x = 7,758,603.32
  5. Step 5: Solve for x
    x = 7,758,603.32/3,083.65
  6. Step 6: Final answer
    x = 2,516.05

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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.