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Finding the Fourth Proportional to 2,492.51, 3,436.83 and 2,259.23

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Solution

The fourth proportional to 2,492.51, 3,436.83 and 2,259.23 is: 3,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.51 : 3,436.83 = 2,259.23 : x
  2. Step 2: Convert to fraction form
    2,492.51/3,436.83 = 2,259.23/x
  3. Step 3: Cross multiply
    2,492.51x = 3,436.83 × 2,259.23
  4. Step 4: Simplify right side
    2,492.51x = 7,764,572.26
  5. Step 5: Solve for x
    x = 7,764,572.26/2,492.51
  6. Step 6: Final answer
    x = 3,115.17

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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.