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Finding the Fourth Proportional to 1,770.04, 2,652.63 and 902.53

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Solution

The fourth proportional to 1,770.04, 2,652.63 and 902.53 is: 1,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.04 : 2,652.63 = 902.53 : x
  2. Step 2: Convert to fraction form
    1,770.04/2,652.63 = 902.53/x
  3. Step 3: Cross multiply
    1,770.04x = 2,652.63 × 902.53
  4. Step 4: Simplify right side
    1,770.04x = 2,394,078.15
  5. Step 5: Solve for x
    x = 2,394,078.15/1,770.04
  6. Step 6: Final answer
    x = 1,352.56

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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.