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Finding the Fourth Proportional to 1,666.81, 2,300.20 and 968.23

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Solution

The fourth proportional to 1,666.81, 2,300.20 and 968.23 is: 1,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.81 : 2,300.20 = 968.23 : x
  2. Step 2: Convert to fraction form
    1,666.81/2,300.20 = 968.23/x
  3. Step 3: Cross multiply
    1,666.81x = 2,300.20 × 968.23
  4. Step 4: Simplify right side
    1,666.81x = 2,227,130.82
  5. Step 5: Solve for x
    x = 2,227,130.82/1,666.81
  6. Step 6: Final answer
    x = 1,336.16

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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.