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Finding the Fourth Proportional to 2,356.64, 3,535.68 and 818.72

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Solution

The fourth proportional to 2,356.64, 3,535.68 and 818.72 is: 1,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.64 : 3,535.68 = 818.72 : x
  2. Step 2: Convert to fraction form
    2,356.64/3,535.68 = 818.72/x
  3. Step 3: Cross multiply
    2,356.64x = 3,535.68 × 818.72
  4. Step 4: Simplify right side
    2,356.64x = 2,894,731.93
  5. Step 5: Solve for x
    x = 2,894,731.93/2,356.64
  6. Step 6: Final answer
    x = 1,228.33

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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.