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Finding the Fourth Proportional to 2,045.68, 3,068.52 and 584.83

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Solution

The fourth proportional to 2,045.68, 3,068.52 and 584.83 is: 877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.68 : 3,068.52 = 584.83 : x
  2. Step 2: Convert to fraction form
    2,045.68/3,068.52 = 584.83/x
  3. Step 3: Cross multiply
    2,045.68x = 3,068.52 × 584.83
  4. Step 4: Simplify right side
    2,045.68x = 1,794,562.55
  5. Step 5: Solve for x
    x = 1,794,562.55/2,045.68
  6. Step 6: Final answer
    x = 877.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.