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Finding the Fourth Proportional to 2,384.13, 3,574.89 and 1,084.89

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Solution

The fourth proportional to 2,384.13, 3,574.89 and 1,084.89 is: 1,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.13 : 3,574.89 = 1,084.89 : x
  2. Step 2: Convert to fraction form
    2,384.13/3,574.89 = 1,084.89/x
  3. Step 3: Cross multiply
    2,384.13x = 3,574.89 × 1,084.89
  4. Step 4: Simplify right side
    2,384.13x = 3,878,362.41
  5. Step 5: Solve for x
    x = 3,878,362.41/2,384.13
  6. Step 6: Final answer
    x = 1,626.74

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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.