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Finding the Fourth Proportional to 2,511.25, 3,465.53 and 1,407.25

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Solution

The fourth proportional to 2,511.25, 3,465.53 and 1,407.25 is: 1,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.25 : 3,465.53 = 1,407.25 : x
  2. Step 2: Convert to fraction form
    2,511.25/3,465.53 = 1,407.25/x
  3. Step 3: Cross multiply
    2,511.25x = 3,465.53 × 1,407.25
  4. Step 4: Simplify right side
    2,511.25x = 4,876,867.09
  5. Step 5: Solve for x
    x = 4,876,867.09/2,511.25
  6. Step 6: Final answer
    x = 1,942.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.