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Finding the Fourth Proportional to 1,591.35, 2,386.26 and 604.14

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Solution

The fourth proportional to 1,591.35, 2,386.26 and 604.14 is: 905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.35 : 2,386.26 = 604.14 : x
  2. Step 2: Convert to fraction form
    1,591.35/2,386.26 = 604.14/x
  3. Step 3: Cross multiply
    1,591.35x = 2,386.26 × 604.14
  4. Step 4: Simplify right side
    1,591.35x = 1,441,635.12
  5. Step 5: Solve for x
    x = 1,441,635.12/1,591.35
  6. Step 6: Final answer
    x = 905.92

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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.