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Finding the Fourth Proportional to 1,576.04, 2,176.02 and 986.84

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Solution

The fourth proportional to 1,576.04, 2,176.02 and 986.84 is: 1,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.04 : 2,176.02 = 986.84 : x
  2. Step 2: Convert to fraction form
    1,576.04/2,176.02 = 986.84/x
  3. Step 3: Cross multiply
    1,576.04x = 2,176.02 × 986.84
  4. Step 4: Simplify right side
    1,576.04x = 2,147,383.58
  5. Step 5: Solve for x
    x = 2,147,383.58/1,576.04
  6. Step 6: Final answer
    x = 1,362.52

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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.