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Finding the Fourth Proportional to 1,573.23, 2,171.42 and 975.86

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Solution

The fourth proportional to 1,573.23, 2,171.42 and 975.86 is: 1,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.23 : 2,171.42 = 975.86 : x
  2. Step 2: Convert to fraction form
    1,573.23/2,171.42 = 975.86/x
  3. Step 3: Cross multiply
    1,573.23x = 2,171.42 × 975.86
  4. Step 4: Simplify right side
    1,573.23x = 2,118,986.18
  5. Step 5: Solve for x
    x = 2,118,986.18/1,573.23
  6. Step 6: Final answer
    x = 1,346.90

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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.