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Finding the Fourth Proportional to 2,303.64, 3,178.94 and 1,359.48

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Solution

The fourth proportional to 2,303.64, 3,178.94 and 1,359.48 is: 1,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.64 : 3,178.94 = 1,359.48 : x
  2. Step 2: Convert to fraction form
    2,303.64/3,178.94 = 1,359.48/x
  3. Step 3: Cross multiply
    2,303.64x = 3,178.94 × 1,359.48
  4. Step 4: Simplify right side
    2,303.64x = 4,321,705.35
  5. Step 5: Solve for x
    x = 4,321,705.35/2,303.64
  6. Step 6: Final answer
    x = 1,876.03

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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.