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Finding the Fourth Proportional to 2,656.25, 3,985.52 and 1,423.31

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Solution

The fourth proportional to 2,656.25, 3,985.52 and 1,423.31 is: 2,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.25 : 3,985.52 = 1,423.31 : x
  2. Step 2: Convert to fraction form
    2,656.25/3,985.52 = 1,423.31/x
  3. Step 3: Cross multiply
    2,656.25x = 3,985.52 × 1,423.31
  4. Step 4: Simplify right side
    2,656.25x = 5,672,630.47
  5. Step 5: Solve for x
    x = 5,672,630.47/2,656.25
  6. Step 6: Final answer
    x = 2,135.58

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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.