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Finding the Fourth Proportional to 1,710.93, 2,567.27 and 889.86

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Solution

The fourth proportional to 1,710.93, 2,567.27 and 889.86 is: 1,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.93 : 2,567.27 = 889.86 : x
  2. Step 2: Convert to fraction form
    1,710.93/2,567.27 = 889.86/x
  3. Step 3: Cross multiply
    1,710.93x = 2,567.27 × 889.86
  4. Step 4: Simplify right side
    1,710.93x = 2,284,510.88
  5. Step 5: Solve for x
    x = 2,284,510.88/1,710.93
  6. Step 6: Final answer
    x = 1,335.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.