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Finding the Fourth Proportional to 2,059.49, 3,089.33 and 598.76

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Solution

The fourth proportional to 2,059.49, 3,089.33 and 598.76 is: 898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.49 : 3,089.33 = 598.76 : x
  2. Step 2: Convert to fraction form
    2,059.49/3,089.33 = 598.76/x
  3. Step 3: Cross multiply
    2,059.49x = 3,089.33 × 598.76
  4. Step 4: Simplify right side
    2,059.49x = 1,849,753.28
  5. Step 5: Solve for x
    x = 1,849,753.28/2,059.49
  6. Step 6: Final answer
    x = 898.16

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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.