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Finding the Fourth Proportional to 1,599.45, 2,206.16 and 1,068.12

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Solution

The fourth proportional to 1,599.45, 2,206.16 and 1,068.12 is: 1,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.45 : 2,206.16 = 1,068.12 : x
  2. Step 2: Convert to fraction form
    1,599.45/2,206.16 = 1,068.12/x
  3. Step 3: Cross multiply
    1,599.45x = 2,206.16 × 1,068.12
  4. Step 4: Simplify right side
    1,599.45x = 2,356,438.28
  5. Step 5: Solve for x
    x = 2,356,438.28/1,599.45
  6. Step 6: Final answer
    x = 1,473.28

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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.