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Finding the Fourth Proportional to 2,059.37, 3,088.28 and 742.77

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Solution

The fourth proportional to 2,059.37, 3,088.28 and 742.77 is: 1,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.37 : 3,088.28 = 742.77 : x
  2. Step 2: Convert to fraction form
    2,059.37/3,088.28 = 742.77/x
  3. Step 3: Cross multiply
    2,059.37x = 3,088.28 × 742.77
  4. Step 4: Simplify right side
    2,059.37x = 2,293,878.02
  5. Step 5: Solve for x
    x = 2,293,878.02/2,059.37
  6. Step 6: Final answer
    x = 1,113.88

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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.