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Finding the Fourth Proportional to 1,425.37, 1,967.48 and 835.89

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Solution

The fourth proportional to 1,425.37, 1,967.48 and 835.89 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.37 : 1,967.48 = 835.89 : x
  2. Step 2: Convert to fraction form
    1,425.37/1,967.48 = 835.89/x
  3. Step 3: Cross multiply
    1,425.37x = 1,967.48 × 835.89
  4. Step 4: Simplify right side
    1,425.37x = 1,644,596.86
  5. Step 5: Solve for x
    x = 1,644,596.86/1,425.37
  6. Step 6: Final answer
    x = 1,153.80

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