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Finding the Fourth Proportional to 1,646.23, 2,271.82 and 983.14

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Solution

The fourth proportional to 1,646.23, 2,271.82 and 983.14 is: 1,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.23 : 2,271.82 = 983.14 : x
  2. Step 2: Convert to fraction form
    1,646.23/2,271.82 = 983.14/x
  3. Step 3: Cross multiply
    1,646.23x = 2,271.82 × 983.14
  4. Step 4: Simplify right side
    1,646.23x = 2,233,503.30
  5. Step 5: Solve for x
    x = 2,233,503.30/1,646.23
  6. Step 6: Final answer
    x = 1,356.74

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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.