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Finding the Fourth Proportional to 1,953.57, 2,930.25 and 720.42

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Solution

The fourth proportional to 1,953.57, 2,930.25 and 720.42 is: 1,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.57 : 2,930.25 = 720.42 : x
  2. Step 2: Convert to fraction form
    1,953.57/2,930.25 = 720.42/x
  3. Step 3: Cross multiply
    1,953.57x = 2,930.25 × 720.42
  4. Step 4: Simplify right side
    1,953.57x = 2,111,010.71
  5. Step 5: Solve for x
    x = 2,111,010.71/1,953.57
  6. Step 6: Final answer
    x = 1,080.59

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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.