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Finding the Fourth Proportional to 1,650.36, 2,472.35 and 917.72

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Solution

The fourth proportional to 1,650.36, 2,472.35 and 917.72 is: 1,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.36 : 2,472.35 = 917.72 : x
  2. Step 2: Convert to fraction form
    1,650.36/2,472.35 = 917.72/x
  3. Step 3: Cross multiply
    1,650.36x = 2,472.35 × 917.72
  4. Step 4: Simplify right side
    1,650.36x = 2,268,925.04
  5. Step 5: Solve for x
    x = 2,268,925.04/1,650.36
  6. Step 6: Final answer
    x = 1,374.81

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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.