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Finding the Fourth Proportional to 2,186.53, 3,017.72 and 1,302.35

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Solution

The fourth proportional to 2,186.53, 3,017.72 and 1,302.35 is: 1,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.53 : 3,017.72 = 1,302.35 : x
  2. Step 2: Convert to fraction form
    2,186.53/3,017.72 = 1,302.35/x
  3. Step 3: Cross multiply
    2,186.53x = 3,017.72 × 1,302.35
  4. Step 4: Simplify right side
    2,186.53x = 3,930,115.81
  5. Step 5: Solve for x
    x = 3,930,115.81/2,186.53
  6. Step 6: Final answer
    x = 1,797.42

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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.