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Finding the Fourth Proportional to 1,721.56, 2,582.28 and 844.72

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Solution

The fourth proportional to 1,721.56, 2,582.28 and 844.72 is: 1,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.56 : 2,582.28 = 844.72 : x
  2. Step 2: Convert to fraction form
    1,721.56/2,582.28 = 844.72/x
  3. Step 3: Cross multiply
    1,721.56x = 2,582.28 × 844.72
  4. Step 4: Simplify right side
    1,721.56x = 2,181,303.56
  5. Step 5: Solve for x
    x = 2,181,303.56/1,721.56
  6. Step 6: Final answer
    x = 1,267.05

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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.