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Finding the Fourth Proportional to 2,492.09, 3,735.30 and 1,913.75

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Solution

The fourth proportional to 2,492.09, 3,735.30 and 1,913.75 is: 2,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.09 : 3,735.30 = 1,913.75 : x
  2. Step 2: Convert to fraction form
    2,492.09/3,735.30 = 1,913.75/x
  3. Step 3: Cross multiply
    2,492.09x = 3,735.30 × 1,913.75
  4. Step 4: Simplify right side
    2,492.09x = 7,148,430.38
  5. Step 5: Solve for x
    x = 7,148,430.38/2,492.09
  6. Step 6: Final answer
    x = 2,868.45

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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.