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Finding the Fourth Proportional to 1,599.59, 2,399.38 and 1,054.20

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Solution

The fourth proportional to 1,599.59, 2,399.38 and 1,054.20 is: 1,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.59 : 2,399.38 = 1,054.20 : x
  2. Step 2: Convert to fraction form
    1,599.59/2,399.38 = 1,054.20/x
  3. Step 3: Cross multiply
    1,599.59x = 2,399.38 × 1,054.20
  4. Step 4: Simplify right side
    1,599.59x = 2,529,430.13
  5. Step 5: Solve for x
    x = 2,529,430.13/1,599.59
  6. Step 6: Final answer
    x = 1,581.30

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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.