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Finding the Fourth Proportional to 1,361.64, 1,877.40 and 967.98

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Solution

The fourth proportional to 1,361.64, 1,877.40 and 967.98 is: 1,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.64 : 1,877.40 = 967.98 : x
  2. Step 2: Convert to fraction form
    1,361.64/1,877.40 = 967.98/x
  3. Step 3: Cross multiply
    1,361.64x = 1,877.40 × 967.98
  4. Step 4: Simplify right side
    1,361.64x = 1,817,285.65
  5. Step 5: Solve for x
    x = 1,817,285.65/1,361.64
  6. Step 6: Final answer
    x = 1,334.63

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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.