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Finding the Fourth Proportional to 2,097.61, 2,895.06 and 1,213.95

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Solution

The fourth proportional to 2,097.61, 2,895.06 and 1,213.95 is: 1,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.61 : 2,895.06 = 1,213.95 : x
  2. Step 2: Convert to fraction form
    2,097.61/2,895.06 = 1,213.95/x
  3. Step 3: Cross multiply
    2,097.61x = 2,895.06 × 1,213.95
  4. Step 4: Simplify right side
    2,097.61x = 3,514,458.09
  5. Step 5: Solve for x
    x = 3,514,458.09/2,097.61
  6. Step 6: Final answer
    x = 1,675.46

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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.