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Finding the Fourth Proportional to 1,809.51, 2,497.32 and 1,101.41

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Solution

The fourth proportional to 1,809.51, 2,497.32 and 1,101.41 is: 1,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.51 : 2,497.32 = 1,101.41 : x
  2. Step 2: Convert to fraction form
    1,809.51/2,497.32 = 1,101.41/x
  3. Step 3: Cross multiply
    1,809.51x = 2,497.32 × 1,101.41
  4. Step 4: Simplify right side
    1,809.51x = 2,750,573.22
  5. Step 5: Solve for x
    x = 2,750,573.22/1,809.51
  6. Step 6: Final answer
    x = 1,520.07

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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.