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Finding the Fourth Proportional to 1,523.45, 2,101.31 and 934.26

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Solution

The fourth proportional to 1,523.45, 2,101.31 and 934.26 is: 1,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.45 : 2,101.31 = 934.26 : x
  2. Step 2: Convert to fraction form
    1,523.45/2,101.31 = 934.26/x
  3. Step 3: Cross multiply
    1,523.45x = 2,101.31 × 934.26
  4. Step 4: Simplify right side
    1,523.45x = 1,963,165.21
  5. Step 5: Solve for x
    x = 1,963,165.21/1,523.45
  6. Step 6: Final answer
    x = 1,288.64

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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.