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Finding the Fourth Proportional to 2,059.19, 3,089.08 and 598.15

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Solution

The fourth proportional to 2,059.19, 3,089.08 and 598.15 is: 897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.19 : 3,089.08 = 598.15 : x
  2. Step 2: Convert to fraction form
    2,059.19/3,089.08 = 598.15/x
  3. Step 3: Cross multiply
    2,059.19x = 3,089.08 × 598.15
  4. Step 4: Simplify right side
    2,059.19x = 1,847,737.81
  5. Step 5: Solve for x
    x = 1,847,737.81/2,059.19
  6. Step 6: Final answer
    x = 897.31

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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.