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Finding the Fourth Proportional to 1,712.16, 2,567.38 and 786.94

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Solution

The fourth proportional to 1,712.16, 2,567.38 and 786.94 is: 1,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.16 : 2,567.38 = 786.94 : x
  2. Step 2: Convert to fraction form
    1,712.16/2,567.38 = 786.94/x
  3. Step 3: Cross multiply
    1,712.16x = 2,567.38 × 786.94
  4. Step 4: Simplify right side
    1,712.16x = 2,020,377.65
  5. Step 5: Solve for x
    x = 2,020,377.65/1,712.16
  6. Step 6: Final answer
    x = 1,180.01

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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.