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Finding the Fourth Proportional to 1,215.34, 1,673.40 and 1,018.42

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Solution

The fourth proportional to 1,215.34, 1,673.40 and 1,018.42 is: 1,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.34 : 1,673.40 = 1,018.42 : x
  2. Step 2: Convert to fraction form
    1,215.34/1,673.40 = 1,018.42/x
  3. Step 3: Cross multiply
    1,215.34x = 1,673.40 × 1,018.42
  4. Step 4: Simplify right side
    1,215.34x = 1,704,224.03
  5. Step 5: Solve for x
    x = 1,704,224.03/1,215.34
  6. Step 6: Final answer
    x = 1,402.26

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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.