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Finding the Fourth Proportional to 2,492.05, 3,737.56 and 1,258.29

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Solution

The fourth proportional to 2,492.05, 3,737.56 and 1,258.29 is: 1,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.05 : 3,737.56 = 1,258.29 : x
  2. Step 2: Convert to fraction form
    2,492.05/3,737.56 = 1,258.29/x
  3. Step 3: Cross multiply
    2,492.05x = 3,737.56 × 1,258.29
  4. Step 4: Simplify right side
    2,492.05x = 4,702,934.37
  5. Step 5: Solve for x
    x = 4,702,934.37/2,492.05
  6. Step 6: Final answer
    x = 1,887.17

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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.