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Finding the Fourth Proportional to 1,720.07, 2,579.78 and 841.68

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Solution

The fourth proportional to 1,720.07, 2,579.78 and 841.68 is: 1,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.07 : 2,579.78 = 841.68 : x
  2. Step 2: Convert to fraction form
    1,720.07/2,579.78 = 841.68/x
  3. Step 3: Cross multiply
    1,720.07x = 2,579.78 × 841.68
  4. Step 4: Simplify right side
    1,720.07x = 2,171,345.02
  5. Step 5: Solve for x
    x = 2,171,345.02/1,720.07
  6. Step 6: Final answer
    x = 1,262.36

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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.