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Finding the Fourth Proportional to 2,882.48, 4,322.82 and 934.26

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Solution

The fourth proportional to 2,882.48, 4,322.82 and 934.26 is: 1,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.48 : 4,322.82 = 934.26 : x
  2. Step 2: Convert to fraction form
    2,882.48/4,322.82 = 934.26/x
  3. Step 3: Cross multiply
    2,882.48x = 4,322.82 × 934.26
  4. Step 4: Simplify right side
    2,882.48x = 4,038,637.81
  5. Step 5: Solve for x
    x = 4,038,637.81/2,882.48
  6. Step 6: Final answer
    x = 1,401.10

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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.