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Finding the Fourth Proportional to 4,622.88, 6,934.32 and 1,160.16

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Solution

The fourth proportional to 4,622.88, 6,934.32 and 1,160.16 is: 1,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.88 : 6,934.32 = 1,160.16 : x
  2. Step 2: Convert to fraction form
    4,622.88/6,934.32 = 1,160.16/x
  3. Step 3: Cross multiply
    4,622.88x = 6,934.32 × 1,160.16
  4. Step 4: Simplify right side
    4,622.88x = 8,044,920.69
  5. Step 5: Solve for x
    x = 8,044,920.69/4,622.88
  6. Step 6: Final answer
    x = 1,740.24

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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.