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Finding the Fourth Proportional to 1,644.45, 2,470.26 and 1,570.14

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Solution

The fourth proportional to 1,644.45, 2,470.26 and 1,570.14 is: 2,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.45 : 2,470.26 = 1,570.14 : x
  2. Step 2: Convert to fraction form
    1,644.45/2,470.26 = 1,570.14/x
  3. Step 3: Cross multiply
    1,644.45x = 2,470.26 × 1,570.14
  4. Step 4: Simplify right side
    1,644.45x = 3,878,654.04
  5. Step 5: Solve for x
    x = 3,878,654.04/1,644.45
  6. Step 6: Final answer
    x = 2,358.63

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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.