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Finding the Fourth Proportional to 4,293.86, 6,442.19 and 1,830.77

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Solution

The fourth proportional to 4,293.86, 6,442.19 and 1,830.77 is: 2,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.86 : 6,442.19 = 1,830.77 : x
  2. Step 2: Convert to fraction form
    4,293.86/6,442.19 = 1,830.77/x
  3. Step 3: Cross multiply
    4,293.86x = 6,442.19 × 1,830.77
  4. Step 4: Simplify right side
    4,293.86x = 11,794,126.82
  5. Step 5: Solve for x
    x = 11,794,126.82/4,293.86
  6. Step 6: Final answer
    x = 2,746.75

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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.