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Finding the Fourth Proportional to 2,742.90, 3,785.66 and 2,157.90

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Solution

The fourth proportional to 2,742.90, 3,785.66 and 2,157.90 is: 2,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.90 : 3,785.66 = 2,157.90 : x
  2. Step 2: Convert to fraction form
    2,742.90/3,785.66 = 2,157.90/x
  3. Step 3: Cross multiply
    2,742.90x = 3,785.66 × 2,157.90
  4. Step 4: Simplify right side
    2,742.90x = 8,169,075.71
  5. Step 5: Solve for x
    x = 8,169,075.71/2,742.90
  6. Step 6: Final answer
    x = 2,978.26

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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.