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Finding the Fourth Proportional to 2,594.39, 3,580.34 and 1,415.54

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Solution

The fourth proportional to 2,594.39, 3,580.34 and 1,415.54 is: 1,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.39 : 3,580.34 = 1,415.54 : x
  2. Step 2: Convert to fraction form
    2,594.39/3,580.34 = 1,415.54/x
  3. Step 3: Cross multiply
    2,594.39x = 3,580.34 × 1,415.54
  4. Step 4: Simplify right side
    2,594.39x = 5,068,116.36
  5. Step 5: Solve for x
    x = 5,068,116.36/2,594.39
  6. Step 6: Final answer
    x = 1,953.49

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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.