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Finding the Fourth Proportional to 3,089.85, 4,635.53 and 898.59

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Solution

The fourth proportional to 3,089.85, 4,635.53 and 898.59 is: 1,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.85 : 4,635.53 = 898.59 : x
  2. Step 2: Convert to fraction form
    3,089.85/4,635.53 = 898.59/x
  3. Step 3: Cross multiply
    3,089.85x = 4,635.53 × 898.59
  4. Step 4: Simplify right side
    3,089.85x = 4,165,440.90
  5. Step 5: Solve for x
    x = 4,165,440.90/3,089.85
  6. Step 6: Final answer
    x = 1,348.10

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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.