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Finding the Fourth Proportional to 2,035.79, 2,806.93 and 1,720.50

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Solution

The fourth proportional to 2,035.79, 2,806.93 and 1,720.50 is: 2,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.79 : 2,806.93 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    2,035.79/2,806.93 = 1,720.50/x
  3. Step 3: Cross multiply
    2,035.79x = 2,806.93 × 1,720.50
  4. Step 4: Simplify right side
    2,035.79x = 4,829,325.22
  5. Step 5: Solve for x
    x = 4,829,325.22/2,035.79
  6. Step 6: Final answer
    x = 2,372.21

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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.