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Finding the Fourth Proportional to 1,615.55, 2,419.77 and 1,431

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Solution

The fourth proportional to 1,615.55, 2,419.77 and 1,431 is: 2,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.55 : 2,419.77 = 1,431 : x
  2. Step 2: Convert to fraction form
    1,615.55/2,419.77 = 1,431/x
  3. Step 3: Cross multiply
    1,615.55x = 2,419.77 × 1,431
  4. Step 4: Simplify right side
    1,615.55x = 3,462,696.24
  5. Step 5: Solve for x
    x = 3,462,696.24/1,615.55
  6. Step 6: Final answer
    x = 2,143.36

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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.