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Finding the Fourth Proportional to 1,646.75, 2,271.47 and 1,109.30

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Solution

The fourth proportional to 1,646.75, 2,271.47 and 1,109.30 is: 1,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.75 : 2,271.47 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    1,646.75/2,271.47 = 1,109.30/x
  3. Step 3: Cross multiply
    1,646.75x = 2,271.47 × 1,109.30
  4. Step 4: Simplify right side
    1,646.75x = 2,519,724.77
  5. Step 5: Solve for x
    x = 2,519,724.77/1,646.75
  6. Step 6: Final answer
    x = 1,530.12

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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.