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Finding the Fourth Proportional to 1,749.51, 2,398.46 and 1,709.01

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Solution

The fourth proportional to 1,749.51, 2,398.46 and 1,709.01 is: 2,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.51 : 2,398.46 = 1,709.01 : x
  2. Step 2: Convert to fraction form
    1,749.51/2,398.46 = 1,709.01/x
  3. Step 3: Cross multiply
    1,749.51x = 2,398.46 × 1,709.01
  4. Step 4: Simplify right side
    1,749.51x = 4,098,983.58
  5. Step 5: Solve for x
    x = 4,098,983.58/1,749.51
  6. Step 6: Final answer
    x = 2,342.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.