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Finding the Fourth Proportional to 2,169.19, 3,254.13 and 708.01

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Solution

The fourth proportional to 2,169.19, 3,254.13 and 708.01 is: 1,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.19 : 3,254.13 = 708.01 : x
  2. Step 2: Convert to fraction form
    2,169.19/3,254.13 = 708.01/x
  3. Step 3: Cross multiply
    2,169.19x = 3,254.13 × 708.01
  4. Step 4: Simplify right side
    2,169.19x = 2,303,956.58
  5. Step 5: Solve for x
    x = 2,303,956.58/2,169.19
  6. Step 6: Final answer
    x = 1,062.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.