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Finding the Fourth Proportional to 2,182.68, 3,011.04 and 1,298.16

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Solution

The fourth proportional to 2,182.68, 3,011.04 and 1,298.16 is: 1,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.68 : 3,011.04 = 1,298.16 : x
  2. Step 2: Convert to fraction form
    2,182.68/3,011.04 = 1,298.16/x
  3. Step 3: Cross multiply
    2,182.68x = 3,011.04 × 1,298.16
  4. Step 4: Simplify right side
    2,182.68x = 3,908,811.69
  5. Step 5: Solve for x
    x = 3,908,811.69/2,182.68
  6. Step 6: Final answer
    x = 1,790.83

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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.