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Finding the Fourth Proportional to 1,687.07, 2,329.41 and 1,024.82

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Solution

The fourth proportional to 1,687.07, 2,329.41 and 1,024.82 is: 1,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.07 : 2,329.41 = 1,024.82 : x
  2. Step 2: Convert to fraction form
    1,687.07/2,329.41 = 1,024.82/x
  3. Step 3: Cross multiply
    1,687.07x = 2,329.41 × 1,024.82
  4. Step 4: Simplify right side
    1,687.07x = 2,387,209.19
  5. Step 5: Solve for x
    x = 2,387,209.19/1,687.07
  6. Step 6: Final answer
    x = 1,415.01

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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.