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Finding the Fourth Proportional to 2,045.05, 3,068.04 and 584.32

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Solution

The fourth proportional to 2,045.05, 3,068.04 and 584.32 is: 876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.05 : 3,068.04 = 584.32 : x
  2. Step 2: Convert to fraction form
    2,045.05/3,068.04 = 584.32/x
  3. Step 3: Cross multiply
    2,045.05x = 3,068.04 × 584.32
  4. Step 4: Simplify right side
    2,045.05x = 1,792,717.13
  5. Step 5: Solve for x
    x = 1,792,717.13/2,045.05
  6. Step 6: Final answer
    x = 876.61

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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.