Home / 1,653.38-2,468.73-1,409.78

Finding the Fourth Proportional to 1,653.38, 2,468.73 and 1,409.78

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Solution

The fourth proportional to 1,653.38, 2,468.73 and 1,409.78 is: 2,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.38 : 2,468.73 = 1,409.78 : x
  2. Step 2: Convert to fraction form
    1,653.38/2,468.73 = 1,409.78/x
  3. Step 3: Cross multiply
    1,653.38x = 2,468.73 × 1,409.78
  4. Step 4: Simplify right side
    1,653.38x = 3,480,359.13
  5. Step 5: Solve for x
    x = 3,480,359.13/1,653.38
  6. Step 6: Final answer
    x = 2,105.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.