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Finding the Fourth Proportional to 2,059, 3,087.48 and 597.76

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Solution

The fourth proportional to 2,059, 3,087.48 and 597.76 is: 896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059 : 3,087.48 = 597.76 : x
  2. Step 2: Convert to fraction form
    2,059/3,087.48 = 597.76/x
  3. Step 3: Cross multiply
    2,059x = 3,087.48 × 597.76
  4. Step 4: Simplify right side
    2,059x = 1,845,572.04
  5. Step 5: Solve for x
    x = 1,845,572.04/2,059
  6. Step 6: Final answer
    x = 896.34

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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.