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Finding the Fourth Proportional to 1,567.20, 2,162.01 and 903.81

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Solution

The fourth proportional to 1,567.20, 2,162.01 and 903.81 is: 1,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.20 : 2,162.01 = 903.81 : x
  2. Step 2: Convert to fraction form
    1,567.20/2,162.01 = 903.81/x
  3. Step 3: Cross multiply
    1,567.20x = 2,162.01 × 903.81
  4. Step 4: Simplify right side
    1,567.20x = 1,954,046.26
  5. Step 5: Solve for x
    x = 1,954,046.26/1,567.20
  6. Step 6: Final answer
    x = 1,246.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.