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Finding the Fourth Proportional to 2,894.76, 4,337.10 and 1,737.96

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Solution

The fourth proportional to 2,894.76, 4,337.10 and 1,737.96 is: 2,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.76 : 4,337.10 = 1,737.96 : x
  2. Step 2: Convert to fraction form
    2,894.76/4,337.10 = 1,737.96/x
  3. Step 3: Cross multiply
    2,894.76x = 4,337.10 × 1,737.96
  4. Step 4: Simplify right side
    2,894.76x = 7,537,706.32
  5. Step 5: Solve for x
    x = 7,537,706.32/2,894.76
  6. Step 6: Final answer
    x = 2,603.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.