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Finding the Fourth Proportional to 4,640.48, 6,960.74 and 1,353.59

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Solution

The fourth proportional to 4,640.48, 6,960.74 and 1,353.59 is: 2,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.48 : 6,960.74 = 1,353.59 : x
  2. Step 2: Convert to fraction form
    4,640.48/6,960.74 = 1,353.59/x
  3. Step 3: Cross multiply
    4,640.48x = 6,960.74 × 1,353.59
  4. Step 4: Simplify right side
    4,640.48x = 9,421,988.06
  5. Step 5: Solve for x
    x = 9,421,988.06/4,640.48
  6. Step 6: Final answer
    x = 2,030.39

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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.