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Finding the Fourth Proportional to 1,829.40, 2,746.08 and 734.52

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Solution

The fourth proportional to 1,829.40, 2,746.08 and 734.52 is: 1,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.40 : 2,746.08 = 734.52 : x
  2. Step 2: Convert to fraction form
    1,829.40/2,746.08 = 734.52/x
  3. Step 3: Cross multiply
    1,829.40x = 2,746.08 × 734.52
  4. Step 4: Simplify right side
    1,829.40x = 2,017,050.68
  5. Step 5: Solve for x
    x = 2,017,050.68/1,829.40
  6. Step 6: Final answer
    x = 1,102.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.