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Finding the Fourth Proportional to 2,059.31, 3,089.16 and 598.07

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Solution

The fourth proportional to 2,059.31, 3,089.16 and 598.07 is: 897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.31 : 3,089.16 = 598.07 : x
  2. Step 2: Convert to fraction form
    2,059.31/3,089.16 = 598.07/x
  3. Step 3: Cross multiply
    2,059.31x = 3,089.16 × 598.07
  4. Step 4: Simplify right side
    2,059.31x = 1,847,518.48
  5. Step 5: Solve for x
    x = 1,847,518.48/2,059.31
  6. Step 6: Final answer
    x = 897.16

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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.