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Finding the Fourth Proportional to 2,365.66, 3,548.43 and 610.64

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Solution

The fourth proportional to 2,365.66, 3,548.43 and 610.64 is: 915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.66 : 3,548.43 = 610.64 : x
  2. Step 2: Convert to fraction form
    2,365.66/3,548.43 = 610.64/x
  3. Step 3: Cross multiply
    2,365.66x = 3,548.43 × 610.64
  4. Step 4: Simplify right side
    2,365.66x = 2,166,813.30
  5. Step 5: Solve for x
    x = 2,166,813.30/2,365.66
  6. Step 6: Final answer
    x = 915.94

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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.