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Finding the Fourth Proportional to 1,691.47, 2,333.49 and 983.26

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Solution

The fourth proportional to 1,691.47, 2,333.49 and 983.26 is: 1,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.47 : 2,333.49 = 983.26 : x
  2. Step 2: Convert to fraction form
    1,691.47/2,333.49 = 983.26/x
  3. Step 3: Cross multiply
    1,691.47x = 2,333.49 × 983.26
  4. Step 4: Simplify right side
    1,691.47x = 2,294,427.38
  5. Step 5: Solve for x
    x = 2,294,427.38/1,691.47
  6. Step 6: Final answer
    x = 1,356.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.