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Finding the Fourth Proportional to 2,547.11, 3,820.41 and 903.56

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Solution

The fourth proportional to 2,547.11, 3,820.41 and 903.56 is: 1,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.11 : 3,820.41 = 903.56 : x
  2. Step 2: Convert to fraction form
    2,547.11/3,820.41 = 903.56/x
  3. Step 3: Cross multiply
    2,547.11x = 3,820.41 × 903.56
  4. Step 4: Simplify right side
    2,547.11x = 3,451,969.66
  5. Step 5: Solve for x
    x = 3,451,969.66/2,547.11
  6. Step 6: Final answer
    x = 1,355.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.