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Finding the Fourth Proportional to 2,594.89, 3,580.95 and 1,415.98

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Solution

The fourth proportional to 2,594.89, 3,580.95 and 1,415.98 is: 1,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.89 : 3,580.95 = 1,415.98 : x
  2. Step 2: Convert to fraction form
    2,594.89/3,580.95 = 1,415.98/x
  3. Step 3: Cross multiply
    2,594.89x = 3,580.95 × 1,415.98
  4. Step 4: Simplify right side
    2,594.89x = 5,070,553.58
  5. Step 5: Solve for x
    x = 5,070,553.58/2,594.89
  6. Step 6: Final answer
    x = 1,954.05

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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.