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Finding the Fourth Proportional to 1,567.10, 2,198.80 and 1,567.10

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Solution

The fourth proportional to 1,567.10, 2,198.80 and 1,567.10 is: 2,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.10 : 2,198.80 = 1,567.10 : x
  2. Step 2: Convert to fraction form
    1,567.10/2,198.80 = 1,567.10/x
  3. Step 3: Cross multiply
    1,567.10x = 2,198.80 × 1,567.10
  4. Step 4: Simplify right side
    1,567.10x = 3,445,739.48
  5. Step 5: Solve for x
    x = 3,445,739.48/1,567.10
  6. Step 6: Final answer
    x = 2,198.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.