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Finding the Fourth Proportional to 1,465.80, 2,024.10 and 1,395.78

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Solution

The fourth proportional to 1,465.80, 2,024.10 and 1,395.78 is: 1,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.80 : 2,024.10 = 1,395.78 : x
  2. Step 2: Convert to fraction form
    1,465.80/2,024.10 = 1,395.78/x
  3. Step 3: Cross multiply
    1,465.80x = 2,024.10 × 1,395.78
  4. Step 4: Simplify right side
    1,465.80x = 2,825,198.30
  5. Step 5: Solve for x
    x = 2,825,198.30/1,465.80
  6. Step 6: Final answer
    x = 1,927.41

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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.