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Finding the Fourth Proportional to 1,504.51, 2,065.17 and 1,335.02

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Solution

The fourth proportional to 1,504.51, 2,065.17 and 1,335.02 is: 1,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.51 : 2,065.17 = 1,335.02 : x
  2. Step 2: Convert to fraction form
    1,504.51/2,065.17 = 1,335.02/x
  3. Step 3: Cross multiply
    1,504.51x = 2,065.17 × 1,335.02
  4. Step 4: Simplify right side
    1,504.51x = 2,757,043.25
  5. Step 5: Solve for x
    x = 2,757,043.25/1,504.51
  6. Step 6: Final answer
    x = 1,832.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.