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Finding the Fourth Proportional to 2,045.62, 3,068.43 and 584.77

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Solution

The fourth proportional to 2,045.62, 3,068.43 and 584.77 is: 877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.62 : 3,068.43 = 584.77 : x
  2. Step 2: Convert to fraction form
    2,045.62/3,068.43 = 584.77/x
  3. Step 3: Cross multiply
    2,045.62x = 3,068.43 × 584.77
  4. Step 4: Simplify right side
    2,045.62x = 1,794,325.81
  5. Step 5: Solve for x
    x = 1,794,325.81/2,045.62
  6. Step 6: Final answer
    x = 877.16

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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.