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Finding the Fourth Proportional to 2,361.42, 3,542.35 and 1,045

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Solution

The fourth proportional to 2,361.42, 3,542.35 and 1,045 is: 1,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.42 : 3,542.35 = 1,045 : x
  2. Step 2: Convert to fraction form
    2,361.42/3,542.35 = 1,045/x
  3. Step 3: Cross multiply
    2,361.42x = 3,542.35 × 1,045
  4. Step 4: Simplify right side
    2,361.42x = 3,701,755.75
  5. Step 5: Solve for x
    x = 3,701,755.75/2,361.42
  6. Step 6: Final answer
    x = 1,567.60

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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.