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Finding the Fourth Proportional to 1,735.85, 2,600.33 and 1,594.10

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Solution

The fourth proportional to 1,735.85, 2,600.33 and 1,594.10 is: 2,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.85 : 2,600.33 = 1,594.10 : x
  2. Step 2: Convert to fraction form
    1,735.85/2,600.33 = 1,594.10/x
  3. Step 3: Cross multiply
    1,735.85x = 2,600.33 × 1,594.10
  4. Step 4: Simplify right side
    1,735.85x = 4,145,165.08
  5. Step 5: Solve for x
    x = 4,145,165.08/1,735.85
  6. Step 6: Final answer
    x = 2,387.98

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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.