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Finding the Fourth Proportional to 1,567.66, 2,339.22 and 1,558.56

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Solution

The fourth proportional to 1,567.66, 2,339.22 and 1,558.56 is: 2,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.66 : 2,339.22 = 1,558.56 : x
  2. Step 2: Convert to fraction form
    1,567.66/2,339.22 = 1,558.56/x
  3. Step 3: Cross multiply
    1,567.66x = 2,339.22 × 1,558.56
  4. Step 4: Simplify right side
    1,567.66x = 3,645,814.72
  5. Step 5: Solve for x
    x = 3,645,814.72/1,567.66
  6. Step 6: Final answer
    x = 2,325.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.