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Finding the Fourth Proportional to 1,240.41, 1,858.19 and 1,024.14

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Solution

The fourth proportional to 1,240.41, 1,858.19 and 1,024.14 is: 1,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.41 : 1,858.19 = 1,024.14 : x
  2. Step 2: Convert to fraction form
    1,240.41/1,858.19 = 1,024.14/x
  3. Step 3: Cross multiply
    1,240.41x = 1,858.19 × 1,024.14
  4. Step 4: Simplify right side
    1,240.41x = 1,903,054.31
  5. Step 5: Solve for x
    x = 1,903,054.31/1,240.41
  6. Step 6: Final answer
    x = 1,534.21

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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.