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Finding the Fourth Proportional to 2,613.02, 3,605.82 and 1,433.93

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Solution

The fourth proportional to 2,613.02, 3,605.82 and 1,433.93 is: 1,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.02 : 3,605.82 = 1,433.93 : x
  2. Step 2: Convert to fraction form
    2,613.02/3,605.82 = 1,433.93/x
  3. Step 3: Cross multiply
    2,613.02x = 3,605.82 × 1,433.93
  4. Step 4: Simplify right side
    2,613.02x = 5,170,493.47
  5. Step 5: Solve for x
    x = 5,170,493.47/2,613.02
  6. Step 6: Final answer
    x = 1,978.74

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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.