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Finding the Fourth Proportional to 2,059.66, 3,089.51 and 598.93

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Solution

The fourth proportional to 2,059.66, 3,089.51 and 598.93 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.66 : 3,089.51 = 598.93 : x
  2. Step 2: Convert to fraction form
    2,059.66/3,089.51 = 598.93/x
  3. Step 3: Cross multiply
    2,059.66x = 3,089.51 × 598.93
  4. Step 4: Simplify right side
    2,059.66x = 1,850,391.75
  5. Step 5: Solve for x
    x = 1,850,391.75/2,059.66
  6. Step 6: Final answer
    x = 898.40

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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.