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Finding the Fourth Proportional to 1,583.69, 2,186.17 and 1,088.87

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Solution

The fourth proportional to 1,583.69, 2,186.17 and 1,088.87 is: 1,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.69 : 2,186.17 = 1,088.87 : x
  2. Step 2: Convert to fraction form
    1,583.69/2,186.17 = 1,088.87/x
  3. Step 3: Cross multiply
    1,583.69x = 2,186.17 × 1,088.87
  4. Step 4: Simplify right side
    1,583.69x = 2,380,441.27
  5. Step 5: Solve for x
    x = 2,380,441.27/1,583.69
  6. Step 6: Final answer
    x = 1,503.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.