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Finding the Fourth Proportional to 3,089.12, 4,632.66 and 897.92

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Solution

The fourth proportional to 3,089.12, 4,632.66 and 897.92 is: 1,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.12 : 4,632.66 = 897.92 : x
  2. Step 2: Convert to fraction form
    3,089.12/4,632.66 = 897.92/x
  3. Step 3: Cross multiply
    3,089.12x = 4,632.66 × 897.92
  4. Step 4: Simplify right side
    3,089.12x = 4,159,758.07
  5. Step 5: Solve for x
    x = 4,159,758.07/3,089.12
  6. Step 6: Final answer
    x = 1,346.58

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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.