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Finding the Fourth Proportional to 1,809.08, 2,496.72 and 1,023.06

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Solution

The fourth proportional to 1,809.08, 2,496.72 and 1,023.06 is: 1,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.08 : 2,496.72 = 1,023.06 : x
  2. Step 2: Convert to fraction form
    1,809.08/2,496.72 = 1,023.06/x
  3. Step 3: Cross multiply
    1,809.08x = 2,496.72 × 1,023.06
  4. Step 4: Simplify right side
    1,809.08x = 2,554,294.36
  5. Step 5: Solve for x
    x = 2,554,294.36/1,809.08
  6. Step 6: Final answer
    x = 1,411.93

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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.