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Finding the Fourth Proportional to 2,547.09, 3,818.21 and 815.31

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Solution

The fourth proportional to 2,547.09, 3,818.21 and 815.31 is: 1,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.09 : 3,818.21 = 815.31 : x
  2. Step 2: Convert to fraction form
    2,547.09/3,818.21 = 815.31/x
  3. Step 3: Cross multiply
    2,547.09x = 3,818.21 × 815.31
  4. Step 4: Simplify right side
    2,547.09x = 3,113,020.72
  5. Step 5: Solve for x
    x = 3,113,020.72/2,547.09
  6. Step 6: Final answer
    x = 1,222.19

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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.