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Finding the Fourth Proportional to 1,666.91, 2,300.35 and 920.86

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Solution

The fourth proportional to 1,666.91, 2,300.35 and 920.86 is: 1,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.91 : 2,300.35 = 920.86 : x
  2. Step 2: Convert to fraction form
    1,666.91/2,300.35 = 920.86/x
  3. Step 3: Cross multiply
    1,666.91x = 2,300.35 × 920.86
  4. Step 4: Simplify right side
    1,666.91x = 2,118,300.30
  5. Step 5: Solve for x
    x = 2,118,300.30/1,666.91
  6. Step 6: Final answer
    x = 1,270.79

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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.