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Finding the Fourth Proportional to 3,005.75, 4,508.63 and 1,853.93

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Solution

The fourth proportional to 3,005.75, 4,508.63 and 1,853.93 is: 2,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.75 : 4,508.63 = 1,853.93 : x
  2. Step 2: Convert to fraction form
    3,005.75/4,508.63 = 1,853.93/x
  3. Step 3: Cross multiply
    3,005.75x = 4,508.63 × 1,853.93
  4. Step 4: Simplify right side
    3,005.75x = 8,358,684.42
  5. Step 5: Solve for x
    x = 8,358,684.42/3,005.75
  6. Step 6: Final answer
    x = 2,780.90

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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.