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Finding the Fourth Proportional to 1,523.67, 2,103.75 and 934.98

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Solution

The fourth proportional to 1,523.67, 2,103.75 and 934.98 is: 1,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.67 : 2,103.75 = 934.98 : x
  2. Step 2: Convert to fraction form
    1,523.67/2,103.75 = 934.98/x
  3. Step 3: Cross multiply
    1,523.67x = 2,103.75 × 934.98
  4. Step 4: Simplify right side
    1,523.67x = 1,966,964.18
  5. Step 5: Solve for x
    x = 1,966,964.18/1,523.67
  6. Step 6: Final answer
    x = 1,290.94

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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.