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Finding the Fourth Proportional to 2,013.34, 3,018 and 973.06

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Solution

The fourth proportional to 2,013.34, 3,018 and 973.06 is: 1,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.34 : 3,018 = 973.06 : x
  2. Step 2: Convert to fraction form
    2,013.34/3,018 = 973.06/x
  3. Step 3: Cross multiply
    2,013.34x = 3,018 × 973.06
  4. Step 4: Simplify right side
    2,013.34x = 2,936,695.08
  5. Step 5: Solve for x
    x = 2,936,695.08/2,013.34
  6. Step 6: Final answer
    x = 1,458.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.