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Finding the Fourth Proportional to 1,524.56, 2,270.78 and 1,492.56

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Solution

The fourth proportional to 1,524.56, 2,270.78 and 1,492.56 is: 2,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.56 : 2,270.78 = 1,492.56 : x
  2. Step 2: Convert to fraction form
    1,524.56/2,270.78 = 1,492.56/x
  3. Step 3: Cross multiply
    1,524.56x = 2,270.78 × 1,492.56
  4. Step 4: Simplify right side
    1,524.56x = 3,389,275.40
  5. Step 5: Solve for x
    x = 3,389,275.40/1,524.56
  6. Step 6: Final answer
    x = 2,223.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.