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Finding the Fourth Proportional to 3,063.16, 4,588.93 and 1,810

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Solution

The fourth proportional to 3,063.16, 4,588.93 and 1,810 is: 2,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.16 : 4,588.93 = 1,810 : x
  2. Step 2: Convert to fraction form
    3,063.16/4,588.93 = 1,810/x
  3. Step 3: Cross multiply
    3,063.16x = 4,588.93 × 1,810
  4. Step 4: Simplify right side
    3,063.16x = 8,305,963.30
  5. Step 5: Solve for x
    x = 8,305,963.30/3,063.16
  6. Step 6: Final answer
    x = 2,711.57

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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.