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Finding the Fourth Proportional to 1,973.16, 2,959.34 and 739.89

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Solution

The fourth proportional to 1,973.16, 2,959.34 and 739.89 is: 1,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.16 : 2,959.34 = 739.89 : x
  2. Step 2: Convert to fraction form
    1,973.16/2,959.34 = 739.89/x
  3. Step 3: Cross multiply
    1,973.16x = 2,959.34 × 739.89
  4. Step 4: Simplify right side
    1,973.16x = 2,189,582.37
  5. Step 5: Solve for x
    x = 2,189,582.37/1,973.16
  6. Step 6: Final answer
    x = 1,109.68

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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.