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Finding the Fourth Proportional to 2,045.78, 3,068.10 and 584.54

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Solution

The fourth proportional to 2,045.78, 3,068.10 and 584.54 is: 876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.78 : 3,068.10 = 584.54 : x
  2. Step 2: Convert to fraction form
    2,045.78/3,068.10 = 584.54/x
  3. Step 3: Cross multiply
    2,045.78x = 3,068.10 × 584.54
  4. Step 4: Simplify right side
    2,045.78x = 1,793,411.83
  5. Step 5: Solve for x
    x = 1,793,411.83/2,045.78
  6. Step 6: Final answer
    x = 876.64

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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.