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Finding the Fourth Proportional to 1,691.09, 2,333.60 and 945.01

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Solution

The fourth proportional to 1,691.09, 2,333.60 and 945.01 is: 1,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.09 : 2,333.60 = 945.01 : x
  2. Step 2: Convert to fraction form
    1,691.09/2,333.60 = 945.01/x
  3. Step 3: Cross multiply
    1,691.09x = 2,333.60 × 945.01
  4. Step 4: Simplify right side
    1,691.09x = 2,205,275.34
  5. Step 5: Solve for x
    x = 2,205,275.34/1,691.09
  6. Step 6: Final answer
    x = 1,304.06

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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.