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Finding the Fourth Proportional to 1,735.11, 2,588.03 and 1,683.24

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Solution

The fourth proportional to 1,735.11, 2,588.03 and 1,683.24 is: 2,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.11 : 2,588.03 = 1,683.24 : x
  2. Step 2: Convert to fraction form
    1,735.11/2,588.03 = 1,683.24/x
  3. Step 3: Cross multiply
    1,735.11x = 2,588.03 × 1,683.24
  4. Step 4: Simplify right side
    1,735.11x = 4,356,275.62
  5. Step 5: Solve for x
    x = 4,356,275.62/1,735.11
  6. Step 6: Final answer
    x = 2,510.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.