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Finding the Fourth Proportional to 1,903.86, 2,856.86 and 750.42

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Solution

The fourth proportional to 1,903.86, 2,856.86 and 750.42 is: 1,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.86 : 2,856.86 = 750.42 : x
  2. Step 2: Convert to fraction form
    1,903.86/2,856.86 = 750.42/x
  3. Step 3: Cross multiply
    1,903.86x = 2,856.86 × 750.42
  4. Step 4: Simplify right side
    1,903.86x = 2,143,844.88
  5. Step 5: Solve for x
    x = 2,143,844.88/1,903.86
  6. Step 6: Final answer
    x = 1,126.05

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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.