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Finding the Fourth Proportional to 2,806.51, 3,873.01 and 1,547.61

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Solution

The fourth proportional to 2,806.51, 3,873.01 and 1,547.61 is: 2,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.51 : 3,873.01 = 1,547.61 : x
  2. Step 2: Convert to fraction form
    2,806.51/3,873.01 = 1,547.61/x
  3. Step 3: Cross multiply
    2,806.51x = 3,873.01 × 1,547.61
  4. Step 4: Simplify right side
    2,806.51x = 5,993,881.90
  5. Step 5: Solve for x
    x = 5,993,881.90/2,806.51
  6. Step 6: Final answer
    x = 2,135.71

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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.