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Finding the Fourth Proportional to 3,302.32, 4,953.96 and 1,762.48

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Solution

The fourth proportional to 3,302.32, 4,953.96 and 1,762.48 is: 2,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.32 : 4,953.96 = 1,762.48 : x
  2. Step 2: Convert to fraction form
    3,302.32/4,953.96 = 1,762.48/x
  3. Step 3: Cross multiply
    3,302.32x = 4,953.96 × 1,762.48
  4. Step 4: Simplify right side
    3,302.32x = 8,731,255.42
  5. Step 5: Solve for x
    x = 8,731,255.42/3,302.32
  6. Step 6: Final answer
    x = 2,643.98

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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.