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Finding the Fourth Proportional to 1,417.26, 2,123.73 and 646.86

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Solution

The fourth proportional to 1,417.26, 2,123.73 and 646.86 is: 969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.26 : 2,123.73 = 646.86 : x
  2. Step 2: Convert to fraction form
    1,417.26/2,123.73 = 646.86/x
  3. Step 3: Cross multiply
    1,417.26x = 2,123.73 × 646.86
  4. Step 4: Simplify right side
    1,417.26x = 1,373,755.99
  5. Step 5: Solve for x
    x = 1,373,755.99/1,417.26
  6. Step 6: Final answer
    x = 969.30

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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.