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Finding the Fourth Proportional to 2,516.58, 3,774.57 and 1,284.87

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Solution

The fourth proportional to 2,516.58, 3,774.57 and 1,284.87 is: 1,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.58 : 3,774.57 = 1,284.87 : x
  2. Step 2: Convert to fraction form
    2,516.58/3,774.57 = 1,284.87/x
  3. Step 3: Cross multiply
    2,516.58x = 3,774.57 × 1,284.87
  4. Step 4: Simplify right side
    2,516.58x = 4,849,841.09
  5. Step 5: Solve for x
    x = 4,849,841.09/2,516.58
  6. Step 6: Final answer
    x = 1,927.16

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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.