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Finding the Fourth Proportional to 2,594.57, 3,580.47 and 1,415.66

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Solution

The fourth proportional to 2,594.57, 3,580.47 and 1,415.66 is: 1,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.57 : 3,580.47 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    2,594.57/3,580.47 = 1,415.66/x
  3. Step 3: Cross multiply
    2,594.57x = 3,580.47 × 1,415.66
  4. Step 4: Simplify right side
    2,594.57x = 5,068,710.26
  5. Step 5: Solve for x
    x = 5,068,710.26/2,594.57
  6. Step 6: Final answer
    x = 1,953.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.