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Finding the Fourth Proportional to 1,395.09, 2,093.55 and 810.98

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Solution

The fourth proportional to 1,395.09, 2,093.55 and 810.98 is: 1,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.09 : 2,093.55 = 810.98 : x
  2. Step 2: Convert to fraction form
    1,395.09/2,093.55 = 810.98/x
  3. Step 3: Cross multiply
    1,395.09x = 2,093.55 × 810.98
  4. Step 4: Simplify right side
    1,395.09x = 1,697,821.52
  5. Step 5: Solve for x
    x = 1,697,821.52/1,395.09
  6. Step 6: Final answer
    x = 1,217.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.