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Finding the Fourth Proportional to 2,670.51, 4,005.71 and 1,567.60

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Solution

The fourth proportional to 2,670.51, 4,005.71 and 1,567.60 is: 2,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.51 : 4,005.71 = 1,567.60 : x
  2. Step 2: Convert to fraction form
    2,670.51/4,005.71 = 1,567.60/x
  3. Step 3: Cross multiply
    2,670.51x = 4,005.71 × 1,567.60
  4. Step 4: Simplify right side
    2,670.51x = 6,279,351.00
  5. Step 5: Solve for x
    x = 6,279,351.00/2,670.51
  6. Step 6: Final answer
    x = 2,351.37

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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.