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Finding the Fourth Proportional to 1,465.18, 2,021.95 and 905.52

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Solution

The fourth proportional to 1,465.18, 2,021.95 and 905.52 is: 1,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.18 : 2,021.95 = 905.52 : x
  2. Step 2: Convert to fraction form
    1,465.18/2,021.95 = 905.52/x
  3. Step 3: Cross multiply
    1,465.18x = 2,021.95 × 905.52
  4. Step 4: Simplify right side
    1,465.18x = 1,830,913.90
  5. Step 5: Solve for x
    x = 1,830,913.90/1,465.18
  6. Step 6: Final answer
    x = 1,249.62

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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.