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Finding the Fourth Proportional to 2,613.84, 3,919.08 and 1,225.32

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Solution

The fourth proportional to 2,613.84, 3,919.08 and 1,225.32 is: 1,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.84 : 3,919.08 = 1,225.32 : x
  2. Step 2: Convert to fraction form
    2,613.84/3,919.08 = 1,225.32/x
  3. Step 3: Cross multiply
    2,613.84x = 3,919.08 × 1,225.32
  4. Step 4: Simplify right side
    2,613.84x = 4,802,127.11
  5. Step 5: Solve for x
    x = 4,802,127.11/2,613.84
  6. Step 6: Final answer
    x = 1,837.19

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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.