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Finding the Fourth Proportional to 2,032.60, 3,048 and 734.08

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Solution

The fourth proportional to 2,032.60, 3,048 and 734.08 is: 1,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.60 : 3,048 = 734.08 : x
  2. Step 2: Convert to fraction form
    2,032.60/3,048 = 734.08/x
  3. Step 3: Cross multiply
    2,032.60x = 3,048 × 734.08
  4. Step 4: Simplify right side
    2,032.60x = 2,237,475.84
  5. Step 5: Solve for x
    x = 2,237,475.84/2,032.60
  6. Step 6: Final answer
    x = 1,100.79

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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.