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Finding the Fourth Proportional to 1,707.89, 2,356.83 and 962.01

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Solution

The fourth proportional to 1,707.89, 2,356.83 and 962.01 is: 1,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.89 : 2,356.83 = 962.01 : x
  2. Step 2: Convert to fraction form
    1,707.89/2,356.83 = 962.01/x
  3. Step 3: Cross multiply
    1,707.89x = 2,356.83 × 962.01
  4. Step 4: Simplify right side
    1,707.89x = 2,267,294.03
  5. Step 5: Solve for x
    x = 2,267,294.03/1,707.89
  6. Step 6: Final answer
    x = 1,327.54

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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.