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Finding the Fourth Proportional to 2,104.98, 3,157.50 and 1,009.10

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Solution

The fourth proportional to 2,104.98, 3,157.50 and 1,009.10 is: 1,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.98 : 3,157.50 = 1,009.10 : x
  2. Step 2: Convert to fraction form
    2,104.98/3,157.50 = 1,009.10/x
  3. Step 3: Cross multiply
    2,104.98x = 3,157.50 × 1,009.10
  4. Step 4: Simplify right side
    2,104.98x = 3,186,233.25
  5. Step 5: Solve for x
    x = 3,186,233.25/2,104.98
  6. Step 6: Final answer
    x = 1,513.66

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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.