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Finding the Fourth Proportional to 1,809.16, 2,496.74 and 1,023.19

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Solution

The fourth proportional to 1,809.16, 2,496.74 and 1,023.19 is: 1,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.16 : 2,496.74 = 1,023.19 : x
  2. Step 2: Convert to fraction form
    1,809.16/2,496.74 = 1,023.19/x
  3. Step 3: Cross multiply
    1,809.16x = 2,496.74 × 1,023.19
  4. Step 4: Simplify right side
    1,809.16x = 2,554,628.04
  5. Step 5: Solve for x
    x = 2,554,628.04/1,809.16
  6. Step 6: Final answer
    x = 1,412.05

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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.