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Finding the Fourth Proportional to 1,456.66, 2,185.08 and 361.05

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Solution

The fourth proportional to 1,456.66, 2,185.08 and 361.05 is: 541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.66 : 2,185.08 = 361.05 : x
  2. Step 2: Convert to fraction form
    1,456.66/2,185.08 = 361.05/x
  3. Step 3: Cross multiply
    1,456.66x = 2,185.08 × 361.05
  4. Step 4: Simplify right side
    1,456.66x = 788,923.13
  5. Step 5: Solve for x
    x = 788,923.13/1,456.66
  6. Step 6: Final answer
    x = 541.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.