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Finding the Fourth Proportional to 3,032.42, 4,185.50 and 1,854.50

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Solution

The fourth proportional to 3,032.42, 4,185.50 and 1,854.50 is: 2,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.42 : 4,185.50 = 1,854.50 : x
  2. Step 2: Convert to fraction form
    3,032.42/4,185.50 = 1,854.50/x
  3. Step 3: Cross multiply
    3,032.42x = 4,185.50 × 1,854.50
  4. Step 4: Simplify right side
    3,032.42x = 7,761,979.55
  5. Step 5: Solve for x
    x = 7,761,979.55/3,032.42
  6. Step 6: Final answer
    x = 2,559.67

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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.