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Finding the Fourth Proportional to 1,526.61, 2,105.61 and 994.50

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Solution

The fourth proportional to 1,526.61, 2,105.61 and 994.50 is: 1,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.61 : 2,105.61 = 994.50 : x
  2. Step 2: Convert to fraction form
    1,526.61/2,105.61 = 994.50/x
  3. Step 3: Cross multiply
    1,526.61x = 2,105.61 × 994.50
  4. Step 4: Simplify right side
    1,526.61x = 2,094,029.15
  5. Step 5: Solve for x
    x = 2,094,029.15/1,526.61
  6. Step 6: Final answer
    x = 1,371.69

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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.