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Finding the Fourth Proportional to 2,810.68, 4,211.18 and 1,987.60

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Solution

The fourth proportional to 2,810.68, 4,211.18 and 1,987.60 is: 2,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.68 : 4,211.18 = 1,987.60 : x
  2. Step 2: Convert to fraction form
    2,810.68/4,211.18 = 1,987.60/x
  3. Step 3: Cross multiply
    2,810.68x = 4,211.18 × 1,987.60
  4. Step 4: Simplify right side
    2,810.68x = 8,370,141.37
  5. Step 5: Solve for x
    x = 8,370,141.37/2,810.68
  6. Step 6: Final answer
    x = 2,977.98

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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.