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Finding the Fourth Proportional to 2,587.93, 3,571.38 and 1,409.00

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Solution

The fourth proportional to 2,587.93, 3,571.38 and 1,409.00 is: 1,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.93 : 3,571.38 = 1,409.00 : x
  2. Step 2: Convert to fraction form
    2,587.93/3,571.38 = 1,409.00/x
  3. Step 3: Cross multiply
    2,587.93x = 3,571.38 × 1,409.00
  4. Step 4: Simplify right side
    2,587.93x = 5,032,083.35
  5. Step 5: Solve for x
    x = 5,032,083.35/2,587.93
  6. Step 6: Final answer
    x = 1,944.45

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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.