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Finding the Fourth Proportional to 2,065.34, 2,849.88 and 1,214.24

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Solution

The fourth proportional to 2,065.34, 2,849.88 and 1,214.24 is: 1,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.34 : 2,849.88 = 1,214.24 : x
  2. Step 2: Convert to fraction form
    2,065.34/2,849.88 = 1,214.24/x
  3. Step 3: Cross multiply
    2,065.34x = 2,849.88 × 1,214.24
  4. Step 4: Simplify right side
    2,065.34x = 3,460,424.04
  5. Step 5: Solve for x
    x = 3,460,424.04/2,065.34
  6. Step 6: Final answer
    x = 1,675.48

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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.