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Finding the Fourth Proportional to 1,902.93, 2,625.03 and 1,157.12

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Solution

The fourth proportional to 1,902.93, 2,625.03 and 1,157.12 is: 1,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.93 : 2,625.03 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    1,902.93/2,625.03 = 1,157.12/x
  3. Step 3: Cross multiply
    1,902.93x = 2,625.03 × 1,157.12
  4. Step 4: Simplify right side
    1,902.93x = 3,037,461.59
  5. Step 5: Solve for x
    x = 3,037,461.59/1,902.93
  6. Step 6: Final answer
    x = 1,596.20

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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.