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Finding the Fourth Proportional to 1,749.32, 2,603.34 and 1,691

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Solution

The fourth proportional to 1,749.32, 2,603.34 and 1,691 is: 2,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.32 : 2,603.34 = 1,691 : x
  2. Step 2: Convert to fraction form
    1,749.32/2,603.34 = 1,691/x
  3. Step 3: Cross multiply
    1,749.32x = 2,603.34 × 1,691
  4. Step 4: Simplify right side
    1,749.32x = 4,402,247.94
  5. Step 5: Solve for x
    x = 4,402,247.94/1,749.32
  6. Step 6: Final answer
    x = 2,516.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.