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Finding the Fourth Proportional to 2,567.55, 3,851.60 and 835.77

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Solution

The fourth proportional to 2,567.55, 3,851.60 and 835.77 is: 1,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.55 : 3,851.60 = 835.77 : x
  2. Step 2: Convert to fraction form
    2,567.55/3,851.60 = 835.77/x
  3. Step 3: Cross multiply
    2,567.55x = 3,851.60 × 835.77
  4. Step 4: Simplify right side
    2,567.55x = 3,219,047.55
  5. Step 5: Solve for x
    x = 3,219,047.55/2,567.55
  6. Step 6: Final answer
    x = 1,253.74

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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.