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Finding the Fourth Proportional to 2,186.76, 3,018.25 and 1,525.65

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Solution

The fourth proportional to 2,186.76, 3,018.25 and 1,525.65 is: 2,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.76 : 3,018.25 = 1,525.65 : x
  2. Step 2: Convert to fraction form
    2,186.76/3,018.25 = 1,525.65/x
  3. Step 3: Cross multiply
    2,186.76x = 3,018.25 × 1,525.65
  4. Step 4: Simplify right side
    2,186.76x = 4,604,783.70
  5. Step 5: Solve for x
    x = 4,604,783.70/2,186.76
  6. Step 6: Final answer
    x = 2,105.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.