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Finding the Fourth Proportional to 1,692.54, 2,537.39 and 597.62

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Solution

The fourth proportional to 1,692.54, 2,537.39 and 597.62 is: 895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.54 : 2,537.39 = 597.62 : x
  2. Step 2: Convert to fraction form
    1,692.54/2,537.39 = 597.62/x
  3. Step 3: Cross multiply
    1,692.54x = 2,537.39 × 597.62
  4. Step 4: Simplify right side
    1,692.54x = 1,516,395.01
  5. Step 5: Solve for x
    x = 1,516,395.01/1,692.54
  6. Step 6: Final answer
    x = 895.93

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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.