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Finding the Fourth Proportional to 2,547.30, 3,821 and 1,230.84

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Solution

The fourth proportional to 2,547.30, 3,821 and 1,230.84 is: 1,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.30 : 3,821 = 1,230.84 : x
  2. Step 2: Convert to fraction form
    2,547.30/3,821 = 1,230.84/x
  3. Step 3: Cross multiply
    2,547.30x = 3,821 × 1,230.84
  4. Step 4: Simplify right side
    2,547.30x = 4,703,039.64
  5. Step 5: Solve for x
    x = 4,703,039.64/2,547.30
  6. Step 6: Final answer
    x = 1,846.28

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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.