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Finding the Fourth Proportional to 2,492.12, 3,735.44 and 1,030.48

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Solution

The fourth proportional to 2,492.12, 3,735.44 and 1,030.48 is: 1,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.12 : 3,735.44 = 1,030.48 : x
  2. Step 2: Convert to fraction form
    2,492.12/3,735.44 = 1,030.48/x
  3. Step 3: Cross multiply
    2,492.12x = 3,735.44 × 1,030.48
  4. Step 4: Simplify right side
    2,492.12x = 3,849,296.21
  5. Step 5: Solve for x
    x = 3,849,296.21/2,492.12
  6. Step 6: Final answer
    x = 1,544.59

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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.