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Finding the Fourth Proportional to 2,492.78, 3,735.99 and 1,030.19

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Solution

The fourth proportional to 2,492.78, 3,735.99 and 1,030.19 is: 1,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.78 : 3,735.99 = 1,030.19 : x
  2. Step 2: Convert to fraction form
    2,492.78/3,735.99 = 1,030.19/x
  3. Step 3: Cross multiply
    2,492.78x = 3,735.99 × 1,030.19
  4. Step 4: Simplify right side
    2,492.78x = 3,848,760.86
  5. Step 5: Solve for x
    x = 3,848,760.86/2,492.78
  6. Step 6: Final answer
    x = 1,543.97

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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.