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Finding the Fourth Proportional to 1,677.47, 2,516.04 and 581.76

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Solution

The fourth proportional to 1,677.47, 2,516.04 and 581.76 is: 872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.47 : 2,516.04 = 581.76 : x
  2. Step 2: Convert to fraction form
    1,677.47/2,516.04 = 581.76/x
  3. Step 3: Cross multiply
    1,677.47x = 2,516.04 × 581.76
  4. Step 4: Simplify right side
    1,677.47x = 1,463,731.43
  5. Step 5: Solve for x
    x = 1,463,731.43/1,677.47
  6. Step 6: Final answer
    x = 872.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.