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Finding the Fourth Proportional to 2,018.84, 3,024.23 and 975.78

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Solution

The fourth proportional to 2,018.84, 3,024.23 and 975.78 is: 1,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.84 : 3,024.23 = 975.78 : x
  2. Step 2: Convert to fraction form
    2,018.84/3,024.23 = 975.78/x
  3. Step 3: Cross multiply
    2,018.84x = 3,024.23 × 975.78
  4. Step 4: Simplify right side
    2,018.84x = 2,950,978.27
  5. Step 5: Solve for x
    x = 2,950,978.27/2,018.84
  6. Step 6: Final answer
    x = 1,461.72

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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.