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Finding the Fourth Proportional to 2,024.90, 3,037.80 and 619.44

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Solution

The fourth proportional to 2,024.90, 3,037.80 and 619.44 is: 929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.90 : 3,037.80 = 619.44 : x
  2. Step 2: Convert to fraction form
    2,024.90/3,037.80 = 619.44/x
  3. Step 3: Cross multiply
    2,024.90x = 3,037.80 × 619.44
  4. Step 4: Simplify right side
    2,024.90x = 1,881,719.64
  5. Step 5: Solve for x
    x = 1,881,719.64/2,024.90
  6. Step 6: Final answer
    x = 929.29

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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.