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Finding the Fourth Proportional to 3,089.51, 4,634.72 and 897.96

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Solution

The fourth proportional to 3,089.51, 4,634.72 and 897.96 is: 1,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.51 : 4,634.72 = 897.96 : x
  2. Step 2: Convert to fraction form
    3,089.51/4,634.72 = 897.96/x
  3. Step 3: Cross multiply
    3,089.51x = 4,634.72 × 897.96
  4. Step 4: Simplify right side
    3,089.51x = 4,161,770.00
  5. Step 5: Solve for x
    x = 4,161,770.00/3,089.51
  6. Step 6: Final answer
    x = 1,347.06

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