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Finding the Fourth Proportional to 2,088.59, 2,881.98 and 1,204.27

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Solution

The fourth proportional to 2,088.59, 2,881.98 and 1,204.27 is: 1,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.59 : 2,881.98 = 1,204.27 : x
  2. Step 2: Convert to fraction form
    2,088.59/2,881.98 = 1,204.27/x
  3. Step 3: Cross multiply
    2,088.59x = 2,881.98 × 1,204.27
  4. Step 4: Simplify right side
    2,088.59x = 3,470,674.85
  5. Step 5: Solve for x
    x = 3,470,674.85/2,088.59
  6. Step 6: Final answer
    x = 1,661.74

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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.