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Finding the Fourth Proportional to 1,598.09, 2,204.80 and 934.70

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Solution

The fourth proportional to 1,598.09, 2,204.80 and 934.70 is: 1,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.09 : 2,204.80 = 934.70 : x
  2. Step 2: Convert to fraction form
    1,598.09/2,204.80 = 934.70/x
  3. Step 3: Cross multiply
    1,598.09x = 2,204.80 × 934.70
  4. Step 4: Simplify right side
    1,598.09x = 2,060,826.56
  5. Step 5: Solve for x
    x = 2,060,826.56/1,598.09
  6. Step 6: Final answer
    x = 1,289.56

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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.