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Finding the Fourth Proportional to 3,131, 4,320.64 and 1,733.72

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Solution

The fourth proportional to 3,131, 4,320.64 and 1,733.72 is: 2,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131 : 4,320.64 = 1,733.72 : x
  2. Step 2: Convert to fraction form
    3,131/4,320.64 = 1,733.72/x
  3. Step 3: Cross multiply
    3,131x = 4,320.64 × 1,733.72
  4. Step 4: Simplify right side
    3,131x = 7,490,779.98
  5. Step 5: Solve for x
    x = 7,490,779.98/3,131
  6. Step 6: Final answer
    x = 2,392.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.