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Finding the Fourth Proportional to 2,583.44, 3,565.07 and 1,404.48

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Solution

The fourth proportional to 2,583.44, 3,565.07 and 1,404.48 is: 1,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.44 : 3,565.07 = 1,404.48 : x
  2. Step 2: Convert to fraction form
    2,583.44/3,565.07 = 1,404.48/x
  3. Step 3: Cross multiply
    2,583.44x = 3,565.07 × 1,404.48
  4. Step 4: Simplify right side
    2,583.44x = 5,007,069.51
  5. Step 5: Solve for x
    x = 5,007,069.51/2,583.44
  6. Step 6: Final answer
    x = 1,938.14

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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.