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Finding the Fourth Proportional to 1,464.08, 2,019.87 and 903.58

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Solution

The fourth proportional to 1,464.08, 2,019.87 and 903.58 is: 1,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.08 : 2,019.87 = 903.58 : x
  2. Step 2: Convert to fraction form
    1,464.08/2,019.87 = 903.58/x
  3. Step 3: Cross multiply
    1,464.08x = 2,019.87 × 903.58
  4. Step 4: Simplify right side
    1,464.08x = 1,825,114.13
  5. Step 5: Solve for x
    x = 1,825,114.13/1,464.08
  6. Step 6: Final answer
    x = 1,246.59

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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.