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Finding the Fourth Proportional to 2,594.63, 3,890.11 and 1,295.18

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Solution

The fourth proportional to 2,594.63, 3,890.11 and 1,295.18 is: 1,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.63 : 3,890.11 = 1,295.18 : x
  2. Step 2: Convert to fraction form
    2,594.63/3,890.11 = 1,295.18/x
  3. Step 3: Cross multiply
    2,594.63x = 3,890.11 × 1,295.18
  4. Step 4: Simplify right side
    2,594.63x = 5,038,392.67
  5. Step 5: Solve for x
    x = 5,038,392.67/2,594.63
  6. Step 6: Final answer
    x = 1,941.85

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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.