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Finding the Fourth Proportional to 3,492.64, 4,819.76 and 1,899.26

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Solution

The fourth proportional to 3,492.64, 4,819.76 and 1,899.26 is: 2,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.64 : 4,819.76 = 1,899.26 : x
  2. Step 2: Convert to fraction form
    3,492.64/4,819.76 = 1,899.26/x
  3. Step 3: Cross multiply
    3,492.64x = 4,819.76 × 1,899.26
  4. Step 4: Simplify right side
    3,492.64x = 9,153,967.88
  5. Step 5: Solve for x
    x = 9,153,967.88/3,492.64
  6. Step 6: Final answer
    x = 2,620.93

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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.