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Finding the Fourth Proportional to 2,072.88, 3,123.53 and 1,715.68

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Solution

The fourth proportional to 2,072.88, 3,123.53 and 1,715.68 is: 2,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 3,123.53 = 1,715.68 : x
  2. Step 2: Convert to fraction form
    2,072.88/3,123.53 = 1,715.68/x
  3. Step 3: Cross multiply
    2,072.88x = 3,123.53 × 1,715.68
  4. Step 4: Simplify right side
    2,072.88x = 5,358,977.95
  5. Step 5: Solve for x
    x = 5,358,977.95/2,072.88
  6. Step 6: Final answer
    x = 2,585.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.