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Finding the Fourth Proportional to 1,589.56, 2,193.58 and 1,368.12

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Solution

The fourth proportional to 1,589.56, 2,193.58 and 1,368.12 is: 1,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.56 : 2,193.58 = 1,368.12 : x
  2. Step 2: Convert to fraction form
    1,589.56/2,193.58 = 1,368.12/x
  3. Step 3: Cross multiply
    1,589.56x = 2,193.58 × 1,368.12
  4. Step 4: Simplify right side
    1,589.56x = 3,001,080.67
  5. Step 5: Solve for x
    x = 3,001,080.67/1,589.56
  6. Step 6: Final answer
    x = 1,887.99

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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.