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Finding the Fourth Proportional to 3,088.91, 4,632.89 and 897.18

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Solution

The fourth proportional to 3,088.91, 4,632.89 and 897.18 is: 1,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.91 : 4,632.89 = 897.18 : x
  2. Step 2: Convert to fraction form
    3,088.91/4,632.89 = 897.18/x
  3. Step 3: Cross multiply
    3,088.91x = 4,632.89 × 897.18
  4. Step 4: Simplify right side
    3,088.91x = 4,156,531.76
  5. Step 5: Solve for x
    x = 4,156,531.76/3,088.91
  6. Step 6: Final answer
    x = 1,345.63

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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.