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Finding the Fourth Proportional to 1,894.61, 2,842.29 and 595.77

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Solution

The fourth proportional to 1,894.61, 2,842.29 and 595.77 is: 893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.61 : 2,842.29 = 595.77 : x
  2. Step 2: Convert to fraction form
    1,894.61/2,842.29 = 595.77/x
  3. Step 3: Cross multiply
    1,894.61x = 2,842.29 × 595.77
  4. Step 4: Simplify right side
    1,894.61x = 1,693,351.11
  5. Step 5: Solve for x
    x = 1,693,351.11/1,894.61
  6. Step 6: Final answer
    x = 893.78

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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.