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Finding the Fourth Proportional to 2,547.77, 3,825.30 and 1,891.67

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Solution

The fourth proportional to 2,547.77, 3,825.30 and 1,891.67 is: 2,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.77 : 3,825.30 = 1,891.67 : x
  2. Step 2: Convert to fraction form
    2,547.77/3,825.30 = 1,891.67/x
  3. Step 3: Cross multiply
    2,547.77x = 3,825.30 × 1,891.67
  4. Step 4: Simplify right side
    2,547.77x = 7,236,176.67
  5. Step 5: Solve for x
    x = 7,236,176.67/2,547.77
  6. Step 6: Final answer
    x = 2,840.21

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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.