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Finding the Fourth Proportional to 2,718.68, 3,752.33 and 1,774.63

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Solution

The fourth proportional to 2,718.68, 3,752.33 and 1,774.63 is: 2,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.68 : 3,752.33 = 1,774.63 : x
  2. Step 2: Convert to fraction form
    2,718.68/3,752.33 = 1,774.63/x
  3. Step 3: Cross multiply
    2,718.68x = 3,752.33 × 1,774.63
  4. Step 4: Simplify right side
    2,718.68x = 6,658,988.01
  5. Step 5: Solve for x
    x = 6,658,988.01/2,718.68
  6. Step 6: Final answer
    x = 2,449.34

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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.