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Finding the Fourth Proportional to 1,383.89, 2,077.65 and 973.22

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Solution

The fourth proportional to 1,383.89, 2,077.65 and 973.22 is: 1,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.89 : 2,077.65 = 973.22 : x
  2. Step 2: Convert to fraction form
    1,383.89/2,077.65 = 973.22/x
  3. Step 3: Cross multiply
    1,383.89x = 2,077.65 × 973.22
  4. Step 4: Simplify right side
    1,383.89x = 2,022,000.14
  5. Step 5: Solve for x
    x = 2,022,000.14/1,383.89
  6. Step 6: Final answer
    x = 1,461.10

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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.