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Finding the Fourth Proportional to 2,102.09, 2,902.10 and 1,394.90

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Solution

The fourth proportional to 2,102.09, 2,902.10 and 1,394.90 is: 1,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.09 : 2,902.10 = 1,394.90 : x
  2. Step 2: Convert to fraction form
    2,102.09/2,902.10 = 1,394.90/x
  3. Step 3: Cross multiply
    2,102.09x = 2,902.10 × 1,394.90
  4. Step 4: Simplify right side
    2,102.09x = 4,048,117.81
  5. Step 5: Solve for x
    x = 4,048,117.81/2,102.09
  6. Step 6: Final answer
    x = 1,925.76

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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.