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Finding the Fourth Proportional to 1,576.04, 2,174.92 and 877.42

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Solution

The fourth proportional to 1,576.04, 2,174.92 and 877.42 is: 1,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.04 : 2,174.92 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,576.04/2,174.92 = 877.42/x
  3. Step 3: Cross multiply
    1,576.04x = 2,174.92 × 877.42
  4. Step 4: Simplify right side
    1,576.04x = 1,908,310.68
  5. Step 5: Solve for x
    x = 1,908,310.68/1,576.04
  6. Step 6: Final answer
    x = 1,210.82

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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.