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Finding the Fourth Proportional to 2,888.46, 3,986.10 and 1,840.50

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Solution

The fourth proportional to 2,888.46, 3,986.10 and 1,840.50 is: 2,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.46 : 3,986.10 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    2,888.46/3,986.10 = 1,840.50/x
  3. Step 3: Cross multiply
    2,888.46x = 3,986.10 × 1,840.50
  4. Step 4: Simplify right side
    2,888.46x = 7,336,417.05
  5. Step 5: Solve for x
    x = 7,336,417.05/2,888.46
  6. Step 6: Final answer
    x = 2,539.91

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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.