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Finding the Fourth Proportional to 1,784.39, 2,463.14 and 1,085.63

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Solution

The fourth proportional to 1,784.39, 2,463.14 and 1,085.63 is: 1,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.39 : 2,463.14 = 1,085.63 : x
  2. Step 2: Convert to fraction form
    1,784.39/2,463.14 = 1,085.63/x
  3. Step 3: Cross multiply
    1,784.39x = 2,463.14 × 1,085.63
  4. Step 4: Simplify right side
    1,784.39x = 2,674,049.08
  5. Step 5: Solve for x
    x = 2,674,049.08/1,784.39
  6. Step 6: Final answer
    x = 1,498.58

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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.