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Finding the Fourth Proportional to 2,594.74, 3,580.73 and 1,415.81

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Solution

The fourth proportional to 2,594.74, 3,580.73 and 1,415.81 is: 1,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.74 : 3,580.73 = 1,415.81 : x
  2. Step 2: Convert to fraction form
    2,594.74/3,580.73 = 1,415.81/x
  3. Step 3: Cross multiply
    2,594.74x = 3,580.73 × 1,415.81
  4. Step 4: Simplify right side
    2,594.74x = 5,069,608.36
  5. Step 5: Solve for x
    x = 5,069,608.36/2,594.74
  6. Step 6: Final answer
    x = 1,953.80

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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.