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Finding the Fourth Proportional to 1,715.60, 2,573.52 and 1,391.60

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Solution

The fourth proportional to 1,715.60, 2,573.52 and 1,391.60 is: 2,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.60 : 2,573.52 = 1,391.60 : x
  2. Step 2: Convert to fraction form
    1,715.60/2,573.52 = 1,391.60/x
  3. Step 3: Cross multiply
    1,715.60x = 2,573.52 × 1,391.60
  4. Step 4: Simplify right side
    1,715.60x = 3,581,310.43
  5. Step 5: Solve for x
    x = 3,581,310.43/1,715.60
  6. Step 6: Final answer
    x = 2,087.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.