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Finding the Fourth Proportional to 1,576, 2,174.97 and 877.42

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Solution

The fourth proportional to 1,576, 2,174.97 and 877.42 is: 1,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576 : 2,174.97 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,576/2,174.97 = 877.42/x
  3. Step 3: Cross multiply
    1,576x = 2,174.97 × 877.42
  4. Step 4: Simplify right side
    1,576x = 1,908,362.18
  5. Step 5: Solve for x
    x = 1,908,362.18/1,576
  6. Step 6: Final answer
    x = 1,210.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.