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Finding the Fourth Proportional to 3,088.23, 4,632.57 and 867.39

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Solution

The fourth proportional to 3,088.23, 4,632.57 and 867.39 is: 1,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.23 : 4,632.57 = 867.39 : x
  2. Step 2: Convert to fraction form
    3,088.23/4,632.57 = 867.39/x
  3. Step 3: Cross multiply
    3,088.23x = 4,632.57 × 867.39
  4. Step 4: Simplify right side
    3,088.23x = 4,018,244.89
  5. Step 5: Solve for x
    x = 4,018,244.89/3,088.23
  6. Step 6: Final answer
    x = 1,301.15

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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.