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Finding the Fourth Proportional to 1,692.76, 2,538.80 and 597.10

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Solution

The fourth proportional to 1,692.76, 2,538.80 and 597.10 is: 895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.76 : 2,538.80 = 597.10 : x
  2. Step 2: Convert to fraction form
    1,692.76/2,538.80 = 597.10/x
  3. Step 3: Cross multiply
    1,692.76x = 2,538.80 × 597.10
  4. Step 4: Simplify right side
    1,692.76x = 1,515,917.48
  5. Step 5: Solve for x
    x = 1,515,917.48/1,692.76
  6. Step 6: Final answer
    x = 895.53

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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.