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Finding the Fourth Proportional to 1,567.48, 2,163.18 and 1,071.16

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Solution

The fourth proportional to 1,567.48, 2,163.18 and 1,071.16 is: 1,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.48 : 2,163.18 = 1,071.16 : x
  2. Step 2: Convert to fraction form
    1,567.48/2,163.18 = 1,071.16/x
  3. Step 3: Cross multiply
    1,567.48x = 2,163.18 × 1,071.16
  4. Step 4: Simplify right side
    1,567.48x = 2,317,111.89
  5. Step 5: Solve for x
    x = 2,317,111.89/1,567.48
  6. Step 6: Final answer
    x = 1,478.24

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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.