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Finding the Fourth Proportional to 2,356.43, 3,521.07 and 1,797.93

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Solution

The fourth proportional to 2,356.43, 3,521.07 and 1,797.93 is: 2,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.43 : 3,521.07 = 1,797.93 : x
  2. Step 2: Convert to fraction form
    2,356.43/3,521.07 = 1,797.93/x
  3. Step 3: Cross multiply
    2,356.43x = 3,521.07 × 1,797.93
  4. Step 4: Simplify right side
    2,356.43x = 6,330,637.39
  5. Step 5: Solve for x
    x = 6,330,637.39/2,356.43
  6. Step 6: Final answer
    x = 2,686.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.