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Finding the Fourth Proportional to 2,059.96, 3,088.74 and 826.36

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Solution

The fourth proportional to 2,059.96, 3,088.74 and 826.36 is: 1,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.96 : 3,088.74 = 826.36 : x
  2. Step 2: Convert to fraction form
    2,059.96/3,088.74 = 826.36/x
  3. Step 3: Cross multiply
    2,059.96x = 3,088.74 × 826.36
  4. Step 4: Simplify right side
    2,059.96x = 2,552,411.19
  5. Step 5: Solve for x
    x = 2,552,411.19/2,059.96
  6. Step 6: Final answer
    x = 1,239.06

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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.