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Finding the Fourth Proportional to 1,707.55, 2,562.72 and 886.07

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Solution

The fourth proportional to 1,707.55, 2,562.72 and 886.07 is: 1,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.55 : 2,562.72 = 886.07 : x
  2. Step 2: Convert to fraction form
    1,707.55/2,562.72 = 886.07/x
  3. Step 3: Cross multiply
    1,707.55x = 2,562.72 × 886.07
  4. Step 4: Simplify right side
    1,707.55x = 2,270,749.31
  5. Step 5: Solve for x
    x = 2,270,749.31/1,707.55
  6. Step 6: Final answer
    x = 1,329.83

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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.