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Finding the Fourth Proportional to 2,574.35, 3,552.89 and 1,440.44

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Solution

The fourth proportional to 2,574.35, 3,552.89 and 1,440.44 is: 1,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.35 : 3,552.89 = 1,440.44 : x
  2. Step 2: Convert to fraction form
    2,574.35/3,552.89 = 1,440.44/x
  3. Step 3: Cross multiply
    2,574.35x = 3,552.89 × 1,440.44
  4. Step 4: Simplify right side
    2,574.35x = 5,117,699.90
  5. Step 5: Solve for x
    x = 5,117,699.90/2,574.35
  6. Step 6: Final answer
    x = 1,987.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.