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Finding the Fourth Proportional to 2,088.94, 2,880 and 1,735.18

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Solution

The fourth proportional to 2,088.94, 2,880 and 1,735.18 is: 2,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.94 : 2,880 = 1,735.18 : x
  2. Step 2: Convert to fraction form
    2,088.94/2,880 = 1,735.18/x
  3. Step 3: Cross multiply
    2,088.94x = 2,880 × 1,735.18
  4. Step 4: Simplify right side
    2,088.94x = 4,997,318.40
  5. Step 5: Solve for x
    x = 4,997,318.40/2,088.94
  6. Step 6: Final answer
    x = 2,392.27

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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.