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Finding the Fourth Proportional to 1,523.18, 2,102 and 963.90

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Solution

The fourth proportional to 1,523.18, 2,102 and 963.90 is: 1,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.18 : 2,102 = 963.90 : x
  2. Step 2: Convert to fraction form
    1,523.18/2,102 = 963.90/x
  3. Step 3: Cross multiply
    1,523.18x = 2,102 × 963.90
  4. Step 4: Simplify right side
    1,523.18x = 2,026,117.80
  5. Step 5: Solve for x
    x = 2,026,117.80/1,523.18
  6. Step 6: Final answer
    x = 1,330.19

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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.