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Finding the Fourth Proportional to 1,192.20, 1,785.96 and 973.08

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Solution

The fourth proportional to 1,192.20, 1,785.96 and 973.08 is: 1,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.20 : 1,785.96 = 973.08 : x
  2. Step 2: Convert to fraction form
    1,192.20/1,785.96 = 973.08/x
  3. Step 3: Cross multiply
    1,192.20x = 1,785.96 × 973.08
  4. Step 4: Simplify right side
    1,192.20x = 1,737,881.96
  5. Step 5: Solve for x
    x = 1,737,881.96/1,192.20
  6. Step 6: Final answer
    x = 1,457.71

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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.