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Finding the Fourth Proportional to 1,646.11, 2,271.54 and 938.04

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Solution

The fourth proportional to 1,646.11, 2,271.54 and 938.04 is: 1,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.11 : 2,271.54 = 938.04 : x
  2. Step 2: Convert to fraction form
    1,646.11/2,271.54 = 938.04/x
  3. Step 3: Cross multiply
    1,646.11x = 2,271.54 × 938.04
  4. Step 4: Simplify right side
    1,646.11x = 2,130,795.38
  5. Step 5: Solve for x
    x = 2,130,795.38/1,646.11
  6. Step 6: Final answer
    x = 1,294.44

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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.