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Finding the Fourth Proportional to 2,492.29, 3,437.91 and 1,559.17

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Solution

The fourth proportional to 2,492.29, 3,437.91 and 1,559.17 is: 2,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.29 : 3,437.91 = 1,559.17 : x
  2. Step 2: Convert to fraction form
    2,492.29/3,437.91 = 1,559.17/x
  3. Step 3: Cross multiply
    2,492.29x = 3,437.91 × 1,559.17
  4. Step 4: Simplify right side
    2,492.29x = 5,360,286.13
  5. Step 5: Solve for x
    x = 5,360,286.13/2,492.29
  6. Step 6: Final answer
    x = 2,150.75

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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.