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Finding the Fourth Proportional to 2,461.77, 3,394.13 and 1,576.08

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Solution

The fourth proportional to 2,461.77, 3,394.13 and 1,576.08 is: 2,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.77 : 3,394.13 = 1,576.08 : x
  2. Step 2: Convert to fraction form
    2,461.77/3,394.13 = 1,576.08/x
  3. Step 3: Cross multiply
    2,461.77x = 3,394.13 × 1,576.08
  4. Step 4: Simplify right side
    2,461.77x = 5,349,412.53
  5. Step 5: Solve for x
    x = 5,349,412.53/2,461.77
  6. Step 6: Final answer
    x = 2,172.99

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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.