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Finding the Fourth Proportional to 2,122.44, 2,927.16 and 1,458.24

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Solution

The fourth proportional to 2,122.44, 2,927.16 and 1,458.24 is: 2,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.44 : 2,927.16 = 1,458.24 : x
  2. Step 2: Convert to fraction form
    2,122.44/2,927.16 = 1,458.24/x
  3. Step 3: Cross multiply
    2,122.44x = 2,927.16 × 1,458.24
  4. Step 4: Simplify right side
    2,122.44x = 4,268,501.80
  5. Step 5: Solve for x
    x = 4,268,501.80/2,122.44
  6. Step 6: Final answer
    x = 2,011.13

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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.