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Finding the Fourth Proportional to 1,502.44, 2,072.64 and 942.63

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Solution

The fourth proportional to 1,502.44, 2,072.64 and 942.63 is: 1,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.44 : 2,072.64 = 942.63 : x
  2. Step 2: Convert to fraction form
    1,502.44/2,072.64 = 942.63/x
  3. Step 3: Cross multiply
    1,502.44x = 2,072.64 × 942.63
  4. Step 4: Simplify right side
    1,502.44x = 1,953,728.41
  5. Step 5: Solve for x
    x = 1,953,728.41/1,502.44
  6. Step 6: Final answer
    x = 1,300.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.