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Finding the Fourth Proportional to 1,735.70, 2,603.55 and 1,497.87

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Solution

The fourth proportional to 1,735.70, 2,603.55 and 1,497.87 is: 2,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.70 : 2,603.55 = 1,497.87 : x
  2. Step 2: Convert to fraction form
    1,735.70/2,603.55 = 1,497.87/x
  3. Step 3: Cross multiply
    1,735.70x = 2,603.55 × 1,497.87
  4. Step 4: Simplify right side
    1,735.70x = 3,899,779.44
  5. Step 5: Solve for x
    x = 3,899,779.44/1,735.70
  6. Step 6: Final answer
    x = 2,246.81

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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.