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Finding the Fourth Proportional to 2,024.09, 3,037.04 and 913.58

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Solution

The fourth proportional to 2,024.09, 3,037.04 and 913.58 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.09 : 3,037.04 = 913.58 : x
  2. Step 2: Convert to fraction form
    2,024.09/3,037.04 = 913.58/x
  3. Step 3: Cross multiply
    2,024.09x = 3,037.04 × 913.58
  4. Step 4: Simplify right side
    2,024.09x = 2,774,562.68
  5. Step 5: Solve for x
    x = 2,774,562.68/2,024.09
  6. Step 6: Final answer
    x = 1,370.77

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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.