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Finding the Fourth Proportional to 1,802.39, 2,485.06 and 1,504.07

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Solution

The fourth proportional to 1,802.39, 2,485.06 and 1,504.07 is: 2,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.39 : 2,485.06 = 1,504.07 : x
  2. Step 2: Convert to fraction form
    1,802.39/2,485.06 = 1,504.07/x
  3. Step 3: Cross multiply
    1,802.39x = 2,485.06 × 1,504.07
  4. Step 4: Simplify right side
    1,802.39x = 3,737,704.19
  5. Step 5: Solve for x
    x = 3,737,704.19/1,802.39
  6. Step 6: Final answer
    x = 2,073.75

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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.