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Finding the Fourth Proportional to 1,415.92, 1,953.84 and 818.26

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Solution

The fourth proportional to 1,415.92, 1,953.84 and 818.26 is: 1,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.92 : 1,953.84 = 818.26 : x
  2. Step 2: Convert to fraction form
    1,415.92/1,953.84 = 818.26/x
  3. Step 3: Cross multiply
    1,415.92x = 1,953.84 × 818.26
  4. Step 4: Simplify right side
    1,415.92x = 1,598,749.12
  5. Step 5: Solve for x
    x = 1,598,749.12/1,415.92
  6. Step 6: Final answer
    x = 1,129.12

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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.