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Finding the Fourth Proportional to 2,547.64, 3,821.40 and 1,007.56

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Solution

The fourth proportional to 2,547.64, 3,821.40 and 1,007.56 is: 1,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.64 : 3,821.40 = 1,007.56 : x
  2. Step 2: Convert to fraction form
    2,547.64/3,821.40 = 1,007.56/x
  3. Step 3: Cross multiply
    2,547.64x = 3,821.40 × 1,007.56
  4. Step 4: Simplify right side
    2,547.64x = 3,850,289.78
  5. Step 5: Solve for x
    x = 3,850,289.78/2,547.64
  6. Step 6: Final answer
    x = 1,511.32

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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.