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Finding the Fourth Proportional to 1,894.14, 2,841.57 and 577.98

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Solution

The fourth proportional to 1,894.14, 2,841.57 and 577.98 is: 867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.14 : 2,841.57 = 577.98 : x
  2. Step 2: Convert to fraction form
    1,894.14/2,841.57 = 577.98/x
  3. Step 3: Cross multiply
    1,894.14x = 2,841.57 × 577.98
  4. Step 4: Simplify right side
    1,894.14x = 1,642,370.63
  5. Step 5: Solve for x
    x = 1,642,370.63/1,894.14
  6. Step 6: Final answer
    x = 867.08

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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.