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Finding the Fourth Proportional to 1,576.00, 2,174.98 and 877.37

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Solution

The fourth proportional to 1,576.00, 2,174.98 and 877.37 is: 1,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.00 : 2,174.98 = 877.37 : x
  2. Step 2: Convert to fraction form
    1,576.00/2,174.98 = 877.37/x
  3. Step 3: Cross multiply
    1,576.00x = 2,174.98 × 877.37
  4. Step 4: Simplify right side
    1,576.00x = 1,908,265.45
  5. Step 5: Solve for x
    x = 1,908,265.45/1,576.00
  6. Step 6: Final answer
    x = 1,210.83

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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.