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Finding the Fourth Proportional to 2,014.73, 3,018.66 and 975.23

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Solution

The fourth proportional to 2,014.73, 3,018.66 and 975.23 is: 1,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.73 : 3,018.66 = 975.23 : x
  2. Step 2: Convert to fraction form
    2,014.73/3,018.66 = 975.23/x
  3. Step 3: Cross multiply
    2,014.73x = 3,018.66 × 975.23
  4. Step 4: Simplify right side
    2,014.73x = 2,943,887.79
  5. Step 5: Solve for x
    x = 2,943,887.79/2,014.73
  6. Step 6: Final answer
    x = 1,461.18

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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.