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Finding the Fourth Proportional to 1,735.02, 2,395.17 and 1,206.50

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Solution

The fourth proportional to 1,735.02, 2,395.17 and 1,206.50 is: 1,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.02 : 2,395.17 = 1,206.50 : x
  2. Step 2: Convert to fraction form
    1,735.02/2,395.17 = 1,206.50/x
  3. Step 3: Cross multiply
    1,735.02x = 2,395.17 × 1,206.50
  4. Step 4: Simplify right side
    1,735.02x = 2,889,760.63
  5. Step 5: Solve for x
    x = 2,889,760.63/1,735.02
  6. Step 6: Final answer
    x = 1,665.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.