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Finding the Fourth Proportional to 2,853.03, 3,937.12 and 1,594

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Solution

The fourth proportional to 2,853.03, 3,937.12 and 1,594 is: 2,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.03 : 3,937.12 = 1,594 : x
  2. Step 2: Convert to fraction form
    2,853.03/3,937.12 = 1,594/x
  3. Step 3: Cross multiply
    2,853.03x = 3,937.12 × 1,594
  4. Step 4: Simplify right side
    2,853.03x = 6,275,769.28
  5. Step 5: Solve for x
    x = 6,275,769.28/2,853.03
  6. Step 6: Final answer
    x = 2,199.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.