Home / 1,861.64-2,569.00-1,022.32

Finding the Fourth Proportional to 1,861.64, 2,569.00 and 1,022.32

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Solution

The fourth proportional to 1,861.64, 2,569.00 and 1,022.32 is: 1,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.64 : 2,569.00 = 1,022.32 : x
  2. Step 2: Convert to fraction form
    1,861.64/2,569.00 = 1,022.32/x
  3. Step 3: Cross multiply
    1,861.64x = 2,569.00 × 1,022.32
  4. Step 4: Simplify right side
    1,861.64x = 2,626,322.12
  5. Step 5: Solve for x
    x = 2,626,322.12/1,861.64
  6. Step 6: Final answer
    x = 1,410.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.