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Finding the Fourth Proportional to 3,041.76, 4,197.56 and 1,715.48

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Solution

The fourth proportional to 3,041.76, 4,197.56 and 1,715.48 is: 2,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.76 : 4,197.56 = 1,715.48 : x
  2. Step 2: Convert to fraction form
    3,041.76/4,197.56 = 1,715.48/x
  3. Step 3: Cross multiply
    3,041.76x = 4,197.56 × 1,715.48
  4. Step 4: Simplify right side
    3,041.76x = 7,200,830.23
  5. Step 5: Solve for x
    x = 7,200,830.23/3,041.76
  6. Step 6: Final answer
    x = 2,367.32

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Why These Related Problems?

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