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Finding the Fourth Proportional to 1,567.29, 2,346.84 and 1,017.81

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Solution

The fourth proportional to 1,567.29, 2,346.84 and 1,017.81 is: 1,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.29 : 2,346.84 = 1,017.81 : x
  2. Step 2: Convert to fraction form
    1,567.29/2,346.84 = 1,017.81/x
  3. Step 3: Cross multiply
    1,567.29x = 2,346.84 × 1,017.81
  4. Step 4: Simplify right side
    1,567.29x = 2,388,637.22
  5. Step 5: Solve for x
    x = 2,388,637.22/1,567.29
  6. Step 6: Final answer
    x = 1,524.06

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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.