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Finding the Fourth Proportional to 2,470.14, 3,700.35 and 2,270.88

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Solution

The fourth proportional to 2,470.14, 3,700.35 and 2,270.88 is: 3,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.14 : 3,700.35 = 2,270.88 : x
  2. Step 2: Convert to fraction form
    2,470.14/3,700.35 = 2,270.88/x
  3. Step 3: Cross multiply
    2,470.14x = 3,700.35 × 2,270.88
  4. Step 4: Simplify right side
    2,470.14x = 8,403,050.81
  5. Step 5: Solve for x
    x = 8,403,050.81/2,470.14
  6. Step 6: Final answer
    x = 3,401.85

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