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Finding the Fourth Proportional to 1,465.48, 2,023.26 and 968.96

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Solution

The fourth proportional to 1,465.48, 2,023.26 and 968.96 is: 1,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.48 : 2,023.26 = 968.96 : x
  2. Step 2: Convert to fraction form
    1,465.48/2,023.26 = 968.96/x
  3. Step 3: Cross multiply
    1,465.48x = 2,023.26 × 968.96
  4. Step 4: Simplify right side
    1,465.48x = 1,960,458.01
  5. Step 5: Solve for x
    x = 1,960,458.01/1,465.48
  6. Step 6: Final answer
    x = 1,337.76

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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.