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Finding the Fourth Proportional to 3,214.69, 4,436.49 and 1,798.51

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Solution

The fourth proportional to 3,214.69, 4,436.49 and 1,798.51 is: 2,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.69 : 4,436.49 = 1,798.51 : x
  2. Step 2: Convert to fraction form
    3,214.69/4,436.49 = 1,798.51/x
  3. Step 3: Cross multiply
    3,214.69x = 4,436.49 × 1,798.51
  4. Step 4: Simplify right side
    3,214.69x = 7,979,071.63
  5. Step 5: Solve for x
    x = 7,979,071.63/3,214.69
  6. Step 6: Final answer
    x = 2,482.07

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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.