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Finding the Fourth Proportional to 1,646.32, 2,271.90 and 983.05

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Solution

The fourth proportional to 1,646.32, 2,271.90 and 983.05 is: 1,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.32 : 2,271.90 = 983.05 : x
  2. Step 2: Convert to fraction form
    1,646.32/2,271.90 = 983.05/x
  3. Step 3: Cross multiply
    1,646.32x = 2,271.90 × 983.05
  4. Step 4: Simplify right side
    1,646.32x = 2,233,375.02
  5. Step 5: Solve for x
    x = 2,233,375.02/1,646.32
  6. Step 6: Final answer
    x = 1,356.59

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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.