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Finding the Fourth Proportional to 3,130.61, 4,696.42 and 1,486.26

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Solution

The fourth proportional to 3,130.61, 4,696.42 and 1,486.26 is: 2,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.61 : 4,696.42 = 1,486.26 : x
  2. Step 2: Convert to fraction form
    3,130.61/4,696.42 = 1,486.26/x
  3. Step 3: Cross multiply
    3,130.61x = 4,696.42 × 1,486.26
  4. Step 4: Simplify right side
    3,130.61x = 6,980,097.47
  5. Step 5: Solve for x
    x = 6,980,097.47/3,130.61
  6. Step 6: Final answer
    x = 2,229.63

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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.