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Finding the Fourth Proportional to 2,983.86, 4,476.06 and 903.87

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Solution

The fourth proportional to 2,983.86, 4,476.06 and 903.87 is: 1,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.86 : 4,476.06 = 903.87 : x
  2. Step 2: Convert to fraction form
    2,983.86/4,476.06 = 903.87/x
  3. Step 3: Cross multiply
    2,983.86x = 4,476.06 × 903.87
  4. Step 4: Simplify right side
    2,983.86x = 4,045,776.35
  5. Step 5: Solve for x
    x = 4,045,776.35/2,983.86
  6. Step 6: Final answer
    x = 1,355.89

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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.