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Finding the Fourth Proportional to 1,692.65, 2,539.20 and 597.02

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Solution

The fourth proportional to 1,692.65, 2,539.20 and 597.02 is: 895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.65 : 2,539.20 = 597.02 : x
  2. Step 2: Convert to fraction form
    1,692.65/2,539.20 = 597.02/x
  3. Step 3: Cross multiply
    1,692.65x = 2,539.20 × 597.02
  4. Step 4: Simplify right side
    1,692.65x = 1,515,953.65
  5. Step 5: Solve for x
    x = 1,515,953.65/1,692.65
  6. Step 6: Final answer
    x = 895.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.