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Finding the Fourth Proportional to 1,466.09, 2,023.55 and 968.75

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Solution

The fourth proportional to 1,466.09, 2,023.55 and 968.75 is: 1,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.09 : 2,023.55 = 968.75 : x
  2. Step 2: Convert to fraction form
    1,466.09/2,023.55 = 968.75/x
  3. Step 3: Cross multiply
    1,466.09x = 2,023.55 × 968.75
  4. Step 4: Simplify right side
    1,466.09x = 1,960,314.06
  5. Step 5: Solve for x
    x = 1,960,314.06/1,466.09
  6. Step 6: Final answer
    x = 1,337.10

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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.