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Finding the Fourth Proportional to 1,472.93, 2,032.39 and 976.24

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Solution

The fourth proportional to 1,472.93, 2,032.39 and 976.24 is: 1,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.93 : 2,032.39 = 976.24 : x
  2. Step 2: Convert to fraction form
    1,472.93/2,032.39 = 976.24/x
  3. Step 3: Cross multiply
    1,472.93x = 2,032.39 × 976.24
  4. Step 4: Simplify right side
    1,472.93x = 1,984,096.55
  5. Step 5: Solve for x
    x = 1,984,096.55/1,472.93
  6. Step 6: Final answer
    x = 1,347.05

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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.