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Finding the Fourth Proportional to 3,130.61, 4,696.85 and 1,814.06

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Solution

The fourth proportional to 3,130.61, 4,696.85 and 1,814.06 is: 2,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.61 : 4,696.85 = 1,814.06 : x
  2. Step 2: Convert to fraction form
    3,130.61/4,696.85 = 1,814.06/x
  3. Step 3: Cross multiply
    3,130.61x = 4,696.85 × 1,814.06
  4. Step 4: Simplify right side
    3,130.61x = 8,520,367.71
  5. Step 5: Solve for x
    x = 8,520,367.71/3,130.61
  6. Step 6: Final answer
    x = 2,721.63

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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.