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Finding the Fourth Proportional to 4,681.70, 7,019.81 and 1,760.23

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Solution

The fourth proportional to 4,681.70, 7,019.81 and 1,760.23 is: 2,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.70 : 7,019.81 = 1,760.23 : x
  2. Step 2: Convert to fraction form
    4,681.70/7,019.81 = 1,760.23/x
  3. Step 3: Cross multiply
    4,681.70x = 7,019.81 × 1,760.23
  4. Step 4: Simplify right side
    4,681.70x = 12,356,496.63
  5. Step 5: Solve for x
    x = 12,356,496.63/4,681.70
  6. Step 6: Final answer
    x = 2,639.32

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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.