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Finding the Fourth Proportional to 1,897.79, 2,846.73 and 581.57

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Solution

The fourth proportional to 1,897.79, 2,846.73 and 581.57 is: 872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.79 : 2,846.73 = 581.57 : x
  2. Step 2: Convert to fraction form
    1,897.79/2,846.73 = 581.57/x
  3. Step 3: Cross multiply
    1,897.79x = 2,846.73 × 581.57
  4. Step 4: Simplify right side
    1,897.79x = 1,655,572.77
  5. Step 5: Solve for x
    x = 1,655,572.77/1,897.79
  6. Step 6: Final answer
    x = 872.37

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1.5x scale

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.