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Finding the Fourth Proportional to 1,603.90, 2,212.99 and 931.60

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Solution

The fourth proportional to 1,603.90, 2,212.99 and 931.60 is: 1,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.90 : 2,212.99 = 931.60 : x
  2. Step 2: Convert to fraction form
    1,603.90/2,212.99 = 931.60/x
  3. Step 3: Cross multiply
    1,603.90x = 2,212.99 × 931.60
  4. Step 4: Simplify right side
    1,603.90x = 2,061,621.48
  5. Step 5: Solve for x
    x = 2,061,621.48/1,603.90
  6. Step 6: Final answer
    x = 1,285.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.