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Finding the Fourth Proportional to 2,470.46, 3,409.22 and 1,475.69

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Solution

The fourth proportional to 2,470.46, 3,409.22 and 1,475.69 is: 2,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.46 : 3,409.22 = 1,475.69 : x
  2. Step 2: Convert to fraction form
    2,470.46/3,409.22 = 1,475.69/x
  3. Step 3: Cross multiply
    2,470.46x = 3,409.22 × 1,475.69
  4. Step 4: Simplify right side
    2,470.46x = 5,030,938.50
  5. Step 5: Solve for x
    x = 5,030,938.50/2,470.46
  6. Step 6: Final answer
    x = 2,036.44

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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.