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Finding the Fourth Proportional to 3,140.46, 4,707.63 and 1,496.57

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Solution

The fourth proportional to 3,140.46, 4,707.63 and 1,496.57 is: 2,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.46 : 4,707.63 = 1,496.57 : x
  2. Step 2: Convert to fraction form
    3,140.46/4,707.63 = 1,496.57/x
  3. Step 3: Cross multiply
    3,140.46x = 4,707.63 × 1,496.57
  4. Step 4: Simplify right side
    3,140.46x = 7,045,274.29
  5. Step 5: Solve for x
    x = 7,045,274.29/3,140.46
  6. Step 6: Final answer
    x = 2,243.39

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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.