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Finding the Fourth Proportional to 1,712.82, 2,567.18 and 1,053.65

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Solution

The fourth proportional to 1,712.82, 2,567.18 and 1,053.65 is: 1,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.82 : 2,567.18 = 1,053.65 : x
  2. Step 2: Convert to fraction form
    1,712.82/2,567.18 = 1,053.65/x
  3. Step 3: Cross multiply
    1,712.82x = 2,567.18 × 1,053.65
  4. Step 4: Simplify right side
    1,712.82x = 2,704,903.82
  5. Step 5: Solve for x
    x = 2,704,903.82/1,712.82
  6. Step 6: Final answer
    x = 1,579.21

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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.