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Finding the Fourth Proportional to 2,356.61, 3,252.02 and 1,361.93

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Solution

The fourth proportional to 2,356.61, 3,252.02 and 1,361.93 is: 1,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.61 : 3,252.02 = 1,361.93 : x
  2. Step 2: Convert to fraction form
    2,356.61/3,252.02 = 1,361.93/x
  3. Step 3: Cross multiply
    2,356.61x = 3,252.02 × 1,361.93
  4. Step 4: Simplify right side
    2,356.61x = 4,429,000.53
  5. Step 5: Solve for x
    x = 4,429,000.53/2,356.61
  6. Step 6: Final answer
    x = 1,879.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.