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Finding the Fourth Proportional to 1,523.70, 2,102.67 and 902.70

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Solution

The fourth proportional to 1,523.70, 2,102.67 and 902.70 is: 1,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.70 : 2,102.67 = 902.70 : x
  2. Step 2: Convert to fraction form
    1,523.70/2,102.67 = 902.70/x
  3. Step 3: Cross multiply
    1,523.70x = 2,102.67 × 902.70
  4. Step 4: Simplify right side
    1,523.70x = 1,898,080.21
  5. Step 5: Solve for x
    x = 1,898,080.21/1,523.70
  6. Step 6: Final answer
    x = 1,245.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.