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Finding the Fourth Proportional to 2,349.85, 3,524.74 and 1,116.63

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Solution

The fourth proportional to 2,349.85, 3,524.74 and 1,116.63 is: 1,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.85 : 3,524.74 = 1,116.63 : x
  2. Step 2: Convert to fraction form
    2,349.85/3,524.74 = 1,116.63/x
  3. Step 3: Cross multiply
    2,349.85x = 3,524.74 × 1,116.63
  4. Step 4: Simplify right side
    2,349.85x = 3,935,830.43
  5. Step 5: Solve for x
    x = 3,935,830.43/2,349.85
  6. Step 6: Final answer
    x = 1,674.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.