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Finding the Fourth Proportional to 2,059.10, 3,088.66 and 499.10

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Solution

The fourth proportional to 2,059.10, 3,088.66 and 499.10 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.10 : 3,088.66 = 499.10 : x
  2. Step 2: Convert to fraction form
    2,059.10/3,088.66 = 499.10/x
  3. Step 3: Cross multiply
    2,059.10x = 3,088.66 × 499.10
  4. Step 4: Simplify right side
    2,059.10x = 1,541,553.07
  5. Step 5: Solve for x
    x = 1,541,553.07/2,059.10
  6. Step 6: Final answer
    x = 748.65

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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.