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Finding the Fourth Proportional to 1,591.09, 2,386.49 and 974.48

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Solution

The fourth proportional to 1,591.09, 2,386.49 and 974.48 is: 1,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.09 : 2,386.49 = 974.48 : x
  2. Step 2: Convert to fraction form
    1,591.09/2,386.49 = 974.48/x
  3. Step 3: Cross multiply
    1,591.09x = 2,386.49 × 974.48
  4. Step 4: Simplify right side
    1,591.09x = 2,325,581.90
  5. Step 5: Solve for x
    x = 2,325,581.90/1,591.09
  6. Step 6: Final answer
    x = 1,461.63

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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.