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Finding the Fourth Proportional to 1,897.84, 2,841.94 and 1,588.92

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Solution

The fourth proportional to 1,897.84, 2,841.94 and 1,588.92 is: 2,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.84 : 2,841.94 = 1,588.92 : x
  2. Step 2: Convert to fraction form
    1,897.84/2,841.94 = 1,588.92/x
  3. Step 3: Cross multiply
    1,897.84x = 2,841.94 × 1,588.92
  4. Step 4: Simplify right side
    1,897.84x = 4,515,615.30
  5. Step 5: Solve for x
    x = 4,515,615.30/1,897.84
  6. Step 6: Final answer
    x = 2,379.34

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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.