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Finding the Fourth Proportional to 1,700.57, 2,537.32 and 1,492.80

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Solution

The fourth proportional to 1,700.57, 2,537.32 and 1,492.80 is: 2,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.57 : 2,537.32 = 1,492.80 : x
  2. Step 2: Convert to fraction form
    1,700.57/2,537.32 = 1,492.80/x
  3. Step 3: Cross multiply
    1,700.57x = 2,537.32 × 1,492.80
  4. Step 4: Simplify right side
    1,700.57x = 3,787,711.30
  5. Step 5: Solve for x
    x = 3,787,711.30/1,700.57
  6. Step 6: Final answer
    x = 2,227.32

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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.