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Finding the Fourth Proportional to 2,102.05, 2,900.10 and 1,263.03

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Solution

The fourth proportional to 2,102.05, 2,900.10 and 1,263.03 is: 1,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.05 : 2,900.10 = 1,263.03 : x
  2. Step 2: Convert to fraction form
    2,102.05/2,900.10 = 1,263.03/x
  3. Step 3: Cross multiply
    2,102.05x = 2,900.10 × 1,263.03
  4. Step 4: Simplify right side
    2,102.05x = 3,662,907.16
  5. Step 5: Solve for x
    x = 3,662,907.16/2,102.05
  6. Step 6: Final answer
    x = 1,742.54

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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.