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Finding the Fourth Proportional to 3,264.68, 4,897.26 and 1,316.90

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Solution

The fourth proportional to 3,264.68, 4,897.26 and 1,316.90 is: 1,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.68 : 4,897.26 = 1,316.90 : x
  2. Step 2: Convert to fraction form
    3,264.68/4,897.26 = 1,316.90/x
  3. Step 3: Cross multiply
    3,264.68x = 4,897.26 × 1,316.90
  4. Step 4: Simplify right side
    3,264.68x = 6,449,213.94
  5. Step 5: Solve for x
    x = 6,449,213.94/3,264.68
  6. Step 6: Final answer
    x = 1,975.45

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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.