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Finding the Fourth Proportional to 2,567.34, 3,848.26 and 1,106.60

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Solution

The fourth proportional to 2,567.34, 3,848.26 and 1,106.60 is: 1,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.34 : 3,848.26 = 1,106.60 : x
  2. Step 2: Convert to fraction form
    2,567.34/3,848.26 = 1,106.60/x
  3. Step 3: Cross multiply
    2,567.34x = 3,848.26 × 1,106.60
  4. Step 4: Simplify right side
    2,567.34x = 4,258,484.52
  5. Step 5: Solve for x
    x = 4,258,484.52/2,567.34
  6. Step 6: Final answer
    x = 1,658.71

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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.