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Finding the Fourth Proportional to 2,470.46, 3,706.44 and 1,483.10

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Solution

The fourth proportional to 2,470.46, 3,706.44 and 1,483.10 is: 2,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.46 : 3,706.44 = 1,483.10 : x
  2. Step 2: Convert to fraction form
    2,470.46/3,706.44 = 1,483.10/x
  3. Step 3: Cross multiply
    2,470.46x = 3,706.44 × 1,483.10
  4. Step 4: Simplify right side
    2,470.46x = 5,497,021.16
  5. Step 5: Solve for x
    x = 5,497,021.16/2,470.46
  6. Step 6: Final answer
    x = 2,225.10

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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.