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Finding the Fourth Proportional to 3,088.36, 4,633 and 896.81

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Solution

The fourth proportional to 3,088.36, 4,633 and 896.81 is: 1,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.36 : 4,633 = 896.81 : x
  2. Step 2: Convert to fraction form
    3,088.36/4,633 = 896.81/x
  3. Step 3: Cross multiply
    3,088.36x = 4,633 × 896.81
  4. Step 4: Simplify right side
    3,088.36x = 4,154,920.73
  5. Step 5: Solve for x
    x = 4,154,920.73/3,088.36
  6. Step 6: Final answer
    x = 1,345.35

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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.