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Finding the Fourth Proportional to 2,312.88, 3,463.08 and 1,762.44

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Solution

The fourth proportional to 2,312.88, 3,463.08 and 1,762.44 is: 2,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.88 : 3,463.08 = 1,762.44 : x
  2. Step 2: Convert to fraction form
    2,312.88/3,463.08 = 1,762.44/x
  3. Step 3: Cross multiply
    2,312.88x = 3,463.08 × 1,762.44
  4. Step 4: Simplify right side
    2,312.88x = 6,103,470.72
  5. Step 5: Solve for x
    x = 6,103,470.72/2,312.88
  6. Step 6: Final answer
    x = 2,638.91

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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.