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Finding the Fourth Proportional to 1,474.93, 2,034.48 and 1,032.67

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Solution

The fourth proportional to 1,474.93, 2,034.48 and 1,032.67 is: 1,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.93 : 2,034.48 = 1,032.67 : x
  2. Step 2: Convert to fraction form
    1,474.93/2,034.48 = 1,032.67/x
  3. Step 3: Cross multiply
    1,474.93x = 2,034.48 × 1,032.67
  4. Step 4: Simplify right side
    1,474.93x = 2,100,946.46
  5. Step 5: Solve for x
    x = 2,100,946.46/1,474.93
  6. Step 6: Final answer
    x = 1,424.44

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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.