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Finding the Fourth Proportional to 1,502.34, 2,072.46 and 971.04

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Solution

The fourth proportional to 1,502.34, 2,072.46 and 971.04 is: 1,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.34 : 2,072.46 = 971.04 : x
  2. Step 2: Convert to fraction form
    1,502.34/2,072.46 = 971.04/x
  3. Step 3: Cross multiply
    1,502.34x = 2,072.46 × 971.04
  4. Step 4: Simplify right side
    1,502.34x = 2,012,441.56
  5. Step 5: Solve for x
    x = 2,012,441.56/1,502.34
  6. Step 6: Final answer
    x = 1,339.54

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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.