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Finding the Fourth Proportional to 2,401, 3,601.51 and 1,582.93

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Solution

The fourth proportional to 2,401, 3,601.51 and 1,582.93 is: 2,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401 : 3,601.51 = 1,582.93 : x
  2. Step 2: Convert to fraction form
    2,401/3,601.51 = 1,582.93/x
  3. Step 3: Cross multiply
    2,401x = 3,601.51 × 1,582.93
  4. Step 4: Simplify right side
    2,401x = 5,700,938.22
  5. Step 5: Solve for x
    x = 5,700,938.22/2,401
  6. Step 6: Final answer
    x = 2,374.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.