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Finding the Fourth Proportional to 2,547.86, 3,804.54 and 2,021.96

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Solution

The fourth proportional to 2,547.86, 3,804.54 and 2,021.96 is: 3,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.86 : 3,804.54 = 2,021.96 : x
  2. Step 2: Convert to fraction form
    2,547.86/3,804.54 = 2,021.96/x
  3. Step 3: Cross multiply
    2,547.86x = 3,804.54 × 2,021.96
  4. Step 4: Simplify right side
    2,547.86x = 7,692,608.68
  5. Step 5: Solve for x
    x = 7,692,608.68/2,547.86
  6. Step 6: Final answer
    x = 3,019.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.