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Finding the Fourth Proportional to 2,782.71, 4,174.55 and 934.01

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Solution

The fourth proportional to 2,782.71, 4,174.55 and 934.01 is: 1,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.71 : 4,174.55 = 934.01 : x
  2. Step 2: Convert to fraction form
    2,782.71/4,174.55 = 934.01/x
  3. Step 3: Cross multiply
    2,782.71x = 4,174.55 × 934.01
  4. Step 4: Simplify right side
    2,782.71x = 3,899,071.45
  5. Step 5: Solve for x
    x = 3,899,071.45/2,782.71
  6. Step 6: Final answer
    x = 1,401.18

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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.