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Finding the Fourth Proportional to 2,384.66, 3,577.85 and 1,068.30

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Solution

The fourth proportional to 2,384.66, 3,577.85 and 1,068.30 is: 1,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.66 : 3,577.85 = 1,068.30 : x
  2. Step 2: Convert to fraction form
    2,384.66/3,577.85 = 1,068.30/x
  3. Step 3: Cross multiply
    2,384.66x = 3,577.85 × 1,068.30
  4. Step 4: Simplify right side
    2,384.66x = 3,822,217.16
  5. Step 5: Solve for x
    x = 3,822,217.16/2,384.66
  6. Step 6: Final answer
    x = 1,602.84

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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.