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Finding the Fourth Proportional to 2,401.58, 3,598.71 and 1,782.38

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Solution

The fourth proportional to 2,401.58, 3,598.71 and 1,782.38 is: 2,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.58 : 3,598.71 = 1,782.38 : x
  2. Step 2: Convert to fraction form
    2,401.58/3,598.71 = 1,782.38/x
  3. Step 3: Cross multiply
    2,401.58x = 3,598.71 × 1,782.38
  4. Step 4: Simplify right side
    2,401.58x = 6,414,250.74
  5. Step 5: Solve for x
    x = 6,414,250.74/2,401.58
  6. Step 6: Final answer
    x = 2,670.85

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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.