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Finding the Fourth Proportional to 1,573.08, 2,171.10 and 909.96

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Solution

The fourth proportional to 1,573.08, 2,171.10 and 909.96 is: 1,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.08 : 2,171.10 = 909.96 : x
  2. Step 2: Convert to fraction form
    1,573.08/2,171.10 = 909.96/x
  3. Step 3: Cross multiply
    1,573.08x = 2,171.10 × 909.96
  4. Step 4: Simplify right side
    1,573.08x = 1,975,614.16
  5. Step 5: Solve for x
    x = 1,975,614.16/1,573.08
  6. Step 6: Final answer
    x = 1,255.89

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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.