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Finding the Fourth Proportional to 2,540.99, 3,506.36 and 1,421.91

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Solution

The fourth proportional to 2,540.99, 3,506.36 and 1,421.91 is: 1,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.99 : 3,506.36 = 1,421.91 : x
  2. Step 2: Convert to fraction form
    2,540.99/3,506.36 = 1,421.91/x
  3. Step 3: Cross multiply
    2,540.99x = 3,506.36 × 1,421.91
  4. Step 4: Simplify right side
    2,540.99x = 4,985,721.24
  5. Step 5: Solve for x
    x = 4,985,721.24/2,540.99
  6. Step 6: Final answer
    x = 1,962.12

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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.