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Finding the Fourth Proportional to 3,137.98, 4,330.51 and 1,740.86

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Solution

The fourth proportional to 3,137.98, 4,330.51 and 1,740.86 is: 2,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.98 : 4,330.51 = 1,740.86 : x
  2. Step 2: Convert to fraction form
    3,137.98/4,330.51 = 1,740.86/x
  3. Step 3: Cross multiply
    3,137.98x = 4,330.51 × 1,740.86
  4. Step 4: Simplify right side
    3,137.98x = 7,538,811.64
  5. Step 5: Solve for x
    x = 7,538,811.64/3,137.98
  6. Step 6: Final answer
    x = 2,402.44

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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.