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Finding the Fourth Proportional to 1,576.34, 2,175.26 and 877.70

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Solution

The fourth proportional to 1,576.34, 2,175.26 and 877.70 is: 1,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.34 : 2,175.26 = 877.70 : x
  2. Step 2: Convert to fraction form
    1,576.34/2,175.26 = 877.70/x
  3. Step 3: Cross multiply
    1,576.34x = 2,175.26 × 877.70
  4. Step 4: Simplify right side
    1,576.34x = 1,909,225.70
  5. Step 5: Solve for x
    x = 1,909,225.70/1,576.34
  6. Step 6: Final answer
    x = 1,211.18

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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.