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Finding the Fourth Proportional to 2,707.18, 3,735.57 and 1,588.50

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Solution

The fourth proportional to 2,707.18, 3,735.57 and 1,588.50 is: 2,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.18 : 3,735.57 = 1,588.50 : x
  2. Step 2: Convert to fraction form
    2,707.18/3,735.57 = 1,588.50/x
  3. Step 3: Cross multiply
    2,707.18x = 3,735.57 × 1,588.50
  4. Step 4: Simplify right side
    2,707.18x = 5,933,952.95
  5. Step 5: Solve for x
    x = 5,933,952.95/2,707.18
  6. Step 6: Final answer
    x = 2,191.93

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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.