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Finding the Fourth Proportional to 3,097.53, 4,647.51 and 1,364.94

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Solution

The fourth proportional to 3,097.53, 4,647.51 and 1,364.94 is: 2,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.53 : 4,647.51 = 1,364.94 : x
  2. Step 2: Convert to fraction form
    3,097.53/4,647.51 = 1,364.94/x
  3. Step 3: Cross multiply
    3,097.53x = 4,647.51 × 1,364.94
  4. Step 4: Simplify right side
    3,097.53x = 6,343,572.30
  5. Step 5: Solve for x
    x = 6,343,572.30/3,097.53
  6. Step 6: Final answer
    x = 2,047.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.