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Finding the Fourth Proportional to 1,953.06, 2,927.84 and 720.20

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Solution

The fourth proportional to 1,953.06, 2,927.84 and 720.20 is: 1,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.06 : 2,927.84 = 720.20 : x
  2. Step 2: Convert to fraction form
    1,953.06/2,927.84 = 720.20/x
  3. Step 3: Cross multiply
    1,953.06x = 2,927.84 × 720.20
  4. Step 4: Simplify right side
    1,953.06x = 2,108,630.37
  5. Step 5: Solve for x
    x = 2,108,630.37/1,953.06
  6. Step 6: Final answer
    x = 1,079.65

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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.