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Finding the Fourth Proportional to 2,894.08, 4,336.80 and 1,737.04

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Solution

The fourth proportional to 2,894.08, 4,336.80 and 1,737.04 is: 2,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.08 : 4,336.80 = 1,737.04 : x
  2. Step 2: Convert to fraction form
    2,894.08/4,336.80 = 1,737.04/x
  3. Step 3: Cross multiply
    2,894.08x = 4,336.80 × 1,737.04
  4. Step 4: Simplify right side
    2,894.08x = 7,533,195.07
  5. Step 5: Solve for x
    x = 7,533,195.07/2,894.08
  6. Step 6: Final answer
    x = 2,602.97

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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.