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Finding the Fourth Proportional to 2,470.82, 3,706.08 and 1,300.47

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Solution

The fourth proportional to 2,470.82, 3,706.08 and 1,300.47 is: 1,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.82 : 3,706.08 = 1,300.47 : x
  2. Step 2: Convert to fraction form
    2,470.82/3,706.08 = 1,300.47/x
  3. Step 3: Cross multiply
    2,470.82x = 3,706.08 × 1,300.47
  4. Step 4: Simplify right side
    2,470.82x = 4,819,655.12
  5. Step 5: Solve for x
    x = 4,819,655.12/2,470.82
  6. Step 6: Final answer
    x = 1,950.63

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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.