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Finding the Fourth Proportional to 2,416.76, 3,334.68 and 1,354.28

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Solution

The fourth proportional to 2,416.76, 3,334.68 and 1,354.28 is: 1,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.76 : 3,334.68 = 1,354.28 : x
  2. Step 2: Convert to fraction form
    2,416.76/3,334.68 = 1,354.28/x
  3. Step 3: Cross multiply
    2,416.76x = 3,334.68 × 1,354.28
  4. Step 4: Simplify right side
    2,416.76x = 4,516,090.43
  5. Step 5: Solve for x
    x = 4,516,090.43/2,416.76
  6. Step 6: Final answer
    x = 1,868.65

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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.