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Finding the Fourth Proportional to 2,330.21, 3,495.65 and 849.53

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Solution

The fourth proportional to 2,330.21, 3,495.65 and 849.53 is: 1,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.21 : 3,495.65 = 849.53 : x
  2. Step 2: Convert to fraction form
    2,330.21/3,495.65 = 849.53/x
  3. Step 3: Cross multiply
    2,330.21x = 3,495.65 × 849.53
  4. Step 4: Simplify right side
    2,330.21x = 2,969,637.82
  5. Step 5: Solve for x
    x = 2,969,637.82/2,330.21
  6. Step 6: Final answer
    x = 1,274.41

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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.