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Finding the Fourth Proportional to 2,097.86, 2,895.66 and 1,301.43

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Solution

The fourth proportional to 2,097.86, 2,895.66 and 1,301.43 is: 1,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.86 : 2,895.66 = 1,301.43 : x
  2. Step 2: Convert to fraction form
    2,097.86/2,895.66 = 1,301.43/x
  3. Step 3: Cross multiply
    2,097.86x = 2,895.66 × 1,301.43
  4. Step 4: Simplify right side
    2,097.86x = 3,768,498.79
  5. Step 5: Solve for x
    x = 3,768,498.79/2,097.86
  6. Step 6: Final answer
    x = 1,796.35

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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.