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Finding the Fourth Proportional to 2,033.16, 2,806.02 and 1,537.32

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Solution

The fourth proportional to 2,033.16, 2,806.02 and 1,537.32 is: 2,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.16 : 2,806.02 = 1,537.32 : x
  2. Step 2: Convert to fraction form
    2,033.16/2,806.02 = 1,537.32/x
  3. Step 3: Cross multiply
    2,033.16x = 2,806.02 × 1,537.32
  4. Step 4: Simplify right side
    2,033.16x = 4,313,750.67
  5. Step 5: Solve for x
    x = 4,313,750.67/2,033.16
  6. Step 6: Final answer
    x = 2,121.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.