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Finding the Fourth Proportional to 2,594.54, 3,580.50 and 1,415.70

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Solution

The fourth proportional to 2,594.54, 3,580.50 and 1,415.70 is: 1,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.54 : 3,580.50 = 1,415.70 : x
  2. Step 2: Convert to fraction form
    2,594.54/3,580.50 = 1,415.70/x
  3. Step 3: Cross multiply
    2,594.54x = 3,580.50 × 1,415.70
  4. Step 4: Simplify right side
    2,594.54x = 5,068,913.85
  5. Step 5: Solve for x
    x = 5,068,913.85/2,594.54
  6. Step 6: Final answer
    x = 1,953.68

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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.