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Finding the Fourth Proportional to 2,186.81, 3,018.29 and 1,303.30

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Solution

The fourth proportional to 2,186.81, 3,018.29 and 1,303.30 is: 1,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.81 : 3,018.29 = 1,303.30 : x
  2. Step 2: Convert to fraction form
    2,186.81/3,018.29 = 1,303.30/x
  3. Step 3: Cross multiply
    2,186.81x = 3,018.29 × 1,303.30
  4. Step 4: Simplify right side
    2,186.81x = 3,933,737.36
  5. Step 5: Solve for x
    x = 3,933,737.36/2,186.81
  6. Step 6: Final answer
    x = 1,798.85

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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.