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Finding the Fourth Proportional to 1,182.10, 1,773.46 and 1,052.98

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Solution

The fourth proportional to 1,182.10, 1,773.46 and 1,052.98 is: 1,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.10 : 1,773.46 = 1,052.98 : x
  2. Step 2: Convert to fraction form
    1,182.10/1,773.46 = 1,052.98/x
  3. Step 3: Cross multiply
    1,182.10x = 1,773.46 × 1,052.98
  4. Step 4: Simplify right side
    1,182.10x = 1,867,417.91
  5. Step 5: Solve for x
    x = 1,867,417.91/1,182.10
  6. Step 6: Final answer
    x = 1,579.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.