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Finding the Fourth Proportional to 1,814.69, 2,504.84 and 1,029.26

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Solution

The fourth proportional to 1,814.69, 2,504.84 and 1,029.26 is: 1,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.69 : 2,504.84 = 1,029.26 : x
  2. Step 2: Convert to fraction form
    1,814.69/2,504.84 = 1,029.26/x
  3. Step 3: Cross multiply
    1,814.69x = 2,504.84 × 1,029.26
  4. Step 4: Simplify right side
    1,814.69x = 2,578,113.95
  5. Step 5: Solve for x
    x = 2,578,113.95/1,814.69
  6. Step 6: Final answer
    x = 1,420.70

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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.