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Finding the Fourth Proportional to 2,925.50, 4,037.19 and 1,683.50

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Solution

The fourth proportional to 2,925.50, 4,037.19 and 1,683.50 is: 2,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.50 : 4,037.19 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    2,925.50/4,037.19 = 1,683.50/x
  3. Step 3: Cross multiply
    2,925.50x = 4,037.19 × 1,683.50
  4. Step 4: Simplify right side
    2,925.50x = 6,796,609.37
  5. Step 5: Solve for x
    x = 6,796,609.37/2,925.50
  6. Step 6: Final answer
    x = 2,323.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.