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Finding the Fourth Proportional to 1,897.51, 2,846.80 and 581.37

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Solution

The fourth proportional to 1,897.51, 2,846.80 and 581.37 is: 872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.51 : 2,846.80 = 581.37 : x
  2. Step 2: Convert to fraction form
    1,897.51/2,846.80 = 581.37/x
  3. Step 3: Cross multiply
    1,897.51x = 2,846.80 × 581.37
  4. Step 4: Simplify right side
    1,897.51x = 1,655,035.55
  5. Step 5: Solve for x
    x = 1,655,035.55/1,897.51
  6. Step 6: Final answer
    x = 872.22

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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.