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Finding the Fourth Proportional to 2,059.17, 3,088.76 and 598.34

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Solution

The fourth proportional to 2,059.17, 3,088.76 and 598.34 is: 897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.17 : 3,088.76 = 598.34 : x
  2. Step 2: Convert to fraction form
    2,059.17/3,088.76 = 598.34/x
  3. Step 3: Cross multiply
    2,059.17x = 3,088.76 × 598.34
  4. Step 4: Simplify right side
    2,059.17x = 1,848,117.70
  5. Step 5: Solve for x
    x = 1,848,117.70/2,059.17
  6. Step 6: Final answer
    x = 897.51

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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.