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Finding the Fourth Proportional to 1,648.43, 2,456.00 and 1,570.06

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Solution

The fourth proportional to 1,648.43, 2,456.00 and 1,570.06 is: 2,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.43 : 2,456.00 = 1,570.06 : x
  2. Step 2: Convert to fraction form
    1,648.43/2,456.00 = 1,570.06/x
  3. Step 3: Cross multiply
    1,648.43x = 2,456.00 × 1,570.06
  4. Step 4: Simplify right side
    1,648.43x = 3,856,062.58
  5. Step 5: Solve for x
    x = 3,856,062.58/1,648.43
  6. Step 6: Final answer
    x = 2,339.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.