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Finding the Fourth Proportional to 2,045.42, 3,068.13 and 584.49

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Solution

The fourth proportional to 2,045.42, 3,068.13 and 584.49 is: 876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.42 : 3,068.13 = 584.49 : x
  2. Step 2: Convert to fraction form
    2,045.42/3,068.13 = 584.49/x
  3. Step 3: Cross multiply
    2,045.42x = 3,068.13 × 584.49
  4. Step 4: Simplify right side
    2,045.42x = 1,793,281.99
  5. Step 5: Solve for x
    x = 1,793,281.99/2,045.42
  6. Step 6: Final answer
    x = 876.73

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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.