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Finding the Fourth Proportional to 2,106.04, 3,157.84 and 718.60

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Solution

The fourth proportional to 2,106.04, 3,157.84 and 718.60 is: 1,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.04 : 3,157.84 = 718.60 : x
  2. Step 2: Convert to fraction form
    2,106.04/3,157.84 = 718.60/x
  3. Step 3: Cross multiply
    2,106.04x = 3,157.84 × 718.60
  4. Step 4: Simplify right side
    2,106.04x = 2,269,223.82
  5. Step 5: Solve for x
    x = 2,269,223.82/2,106.04
  6. Step 6: Final answer
    x = 1,077.48

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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.