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Finding the Fourth Proportional to 1,953.60, 2,929.44 and 720.96

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Solution

The fourth proportional to 1,953.60, 2,929.44 and 720.96 is: 1,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.60 : 2,929.44 = 720.96 : x
  2. Step 2: Convert to fraction form
    1,953.60/2,929.44 = 720.96/x
  3. Step 3: Cross multiply
    1,953.60x = 2,929.44 × 720.96
  4. Step 4: Simplify right side
    1,953.60x = 2,112,009.06
  5. Step 5: Solve for x
    x = 2,112,009.06/1,953.60
  6. Step 6: Final answer
    x = 1,081.09

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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.