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Finding the Fourth Proportional to 3,457.78, 4,771.74 and 1,885.90

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Solution

The fourth proportional to 3,457.78, 4,771.74 and 1,885.90 is: 2,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.78 : 4,771.74 = 1,885.90 : x
  2. Step 2: Convert to fraction form
    3,457.78/4,771.74 = 1,885.90/x
  3. Step 3: Cross multiply
    3,457.78x = 4,771.74 × 1,885.90
  4. Step 4: Simplify right side
    3,457.78x = 8,999,024.47
  5. Step 5: Solve for x
    x = 8,999,024.47/3,457.78
  6. Step 6: Final answer
    x = 2,602.54

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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.