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Finding the Fourth Proportional to 3,009.40, 4,152.54 and 1,830.60

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Solution

The fourth proportional to 3,009.40, 4,152.54 and 1,830.60 is: 2,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.40 : 4,152.54 = 1,830.60 : x
  2. Step 2: Convert to fraction form
    3,009.40/4,152.54 = 1,830.60/x
  3. Step 3: Cross multiply
    3,009.40x = 4,152.54 × 1,830.60
  4. Step 4: Simplify right side
    3,009.40x = 7,601,639.72
  5. Step 5: Solve for x
    x = 7,601,639.72/3,009.40
  6. Step 6: Final answer
    x = 2,525.97

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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.