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Finding the Fourth Proportional to 2,515.54, 3,470.43 and 1,583.50

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Solution

The fourth proportional to 2,515.54, 3,470.43 and 1,583.50 is: 2,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.54 : 3,470.43 = 1,583.50 : x
  2. Step 2: Convert to fraction form
    2,515.54/3,470.43 = 1,583.50/x
  3. Step 3: Cross multiply
    2,515.54x = 3,470.43 × 1,583.50
  4. Step 4: Simplify right side
    2,515.54x = 5,495,425.91
  5. Step 5: Solve for x
    x = 5,495,425.91/2,515.54
  6. Step 6: Final answer
    x = 2,184.59

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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.