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Finding the Fourth Proportional to 2,578.01, 3,557.94 and 1,530.14

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Solution

The fourth proportional to 2,578.01, 3,557.94 and 1,530.14 is: 2,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.01 : 3,557.94 = 1,530.14 : x
  2. Step 2: Convert to fraction form
    2,578.01/3,557.94 = 1,530.14/x
  3. Step 3: Cross multiply
    2,578.01x = 3,557.94 × 1,530.14
  4. Step 4: Simplify right side
    2,578.01x = 5,444,146.31
  5. Step 5: Solve for x
    x = 5,444,146.31/2,578.01
  6. Step 6: Final answer
    x = 2,111.76

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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.