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Finding the Fourth Proportional to 1,722.43, 2,582.70 and 536.15

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Solution

The fourth proportional to 1,722.43, 2,582.70 and 536.15 is: 803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.43 : 2,582.70 = 536.15 : x
  2. Step 2: Convert to fraction form
    1,722.43/2,582.70 = 536.15/x
  3. Step 3: Cross multiply
    1,722.43x = 2,582.70 × 536.15
  4. Step 4: Simplify right side
    1,722.43x = 1,384,714.61
  5. Step 5: Solve for x
    x = 1,384,714.61/1,722.43
  6. Step 6: Final answer
    x = 803.93

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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.