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Finding the Fourth Proportional to 1,567.16, 2,163.24 and 1,009.16

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Solution

The fourth proportional to 1,567.16, 2,163.24 and 1,009.16 is: 1,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.16 : 2,163.24 = 1,009.16 : x
  2. Step 2: Convert to fraction form
    1,567.16/2,163.24 = 1,009.16/x
  3. Step 3: Cross multiply
    1,567.16x = 2,163.24 × 1,009.16
  4. Step 4: Simplify right side
    1,567.16x = 2,183,044.46
  5. Step 5: Solve for x
    x = 2,183,044.46/1,567.16
  6. Step 6: Final answer
    x = 1,393.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.