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Finding the Fourth Proportional to 2,059.59, 3,089.68 and 598.85

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Solution

The fourth proportional to 2,059.59, 3,089.68 and 598.85 is: 898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.59 : 3,089.68 = 598.85 : x
  2. Step 2: Convert to fraction form
    2,059.59/3,089.68 = 598.85/x
  3. Step 3: Cross multiply
    2,059.59x = 3,089.68 × 598.85
  4. Step 4: Simplify right side
    2,059.59x = 1,850,254.87
  5. Step 5: Solve for x
    x = 1,850,254.87/2,059.59
  6. Step 6: Final answer
    x = 898.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.