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Finding the Fourth Proportional to 2,530.47, 3,491.01 and 1,680.12

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Solution

The fourth proportional to 2,530.47, 3,491.01 and 1,680.12 is: 2,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.47 : 3,491.01 = 1,680.12 : x
  2. Step 2: Convert to fraction form
    2,530.47/3,491.01 = 1,680.12/x
  3. Step 3: Cross multiply
    2,530.47x = 3,491.01 × 1,680.12
  4. Step 4: Simplify right side
    2,530.47x = 5,865,315.72
  5. Step 5: Solve for x
    x = 5,865,315.72/2,530.47
  6. Step 6: Final answer
    x = 2,317.88

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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.