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Finding the Fourth Proportional to 2,120.58, 2,925.42 and 1,412.24

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Solution

The fourth proportional to 2,120.58, 2,925.42 and 1,412.24 is: 1,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.58 : 2,925.42 = 1,412.24 : x
  2. Step 2: Convert to fraction form
    2,120.58/2,925.42 = 1,412.24/x
  3. Step 3: Cross multiply
    2,120.58x = 2,925.42 × 1,412.24
  4. Step 4: Simplify right side
    2,120.58x = 4,131,375.22
  5. Step 5: Solve for x
    x = 4,131,375.22/2,120.58
  6. Step 6: Final answer
    x = 1,948.23

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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.