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Finding the Fourth Proportional to 2,476.42, 3,713.69 and 810.16

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Solution

The fourth proportional to 2,476.42, 3,713.69 and 810.16 is: 1,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.42 : 3,713.69 = 810.16 : x
  2. Step 2: Convert to fraction form
    2,476.42/3,713.69 = 810.16/x
  3. Step 3: Cross multiply
    2,476.42x = 3,713.69 × 810.16
  4. Step 4: Simplify right side
    2,476.42x = 3,008,675.83
  5. Step 5: Solve for x
    x = 3,008,675.83/2,476.42
  6. Step 6: Final answer
    x = 1,214.93

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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.