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Finding the Fourth Proportional to 2,983.66, 4,475.35 and 1,134.63

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Solution

The fourth proportional to 2,983.66, 4,475.35 and 1,134.63 is: 1,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.66 : 4,475.35 = 1,134.63 : x
  2. Step 2: Convert to fraction form
    2,983.66/4,475.35 = 1,134.63/x
  3. Step 3: Cross multiply
    2,983.66x = 4,475.35 × 1,134.63
  4. Step 4: Simplify right side
    2,983.66x = 5,077,866.37
  5. Step 5: Solve for x
    x = 5,077,866.37/2,983.66
  6. Step 6: Final answer
    x = 1,701.89

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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.