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Finding the Fourth Proportional to 2,101.39, 2,900.15 and 1,315.69

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Solution

The fourth proportional to 2,101.39, 2,900.15 and 1,315.69 is: 1,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.39 : 2,900.15 = 1,315.69 : x
  2. Step 2: Convert to fraction form
    2,101.39/2,900.15 = 1,315.69/x
  3. Step 3: Cross multiply
    2,101.39x = 2,900.15 × 1,315.69
  4. Step 4: Simplify right side
    2,101.39x = 3,815,698.35
  5. Step 5: Solve for x
    x = 3,815,698.35/2,101.39
  6. Step 6: Final answer
    x = 1,815.80

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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.