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Finding the Fourth Proportional to 2,516.47, 3,775.01 and 1,055.63

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Solution

The fourth proportional to 2,516.47, 3,775.01 and 1,055.63 is: 1,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.47 : 3,775.01 = 1,055.63 : x
  2. Step 2: Convert to fraction form
    2,516.47/3,775.01 = 1,055.63/x
  3. Step 3: Cross multiply
    2,516.47x = 3,775.01 × 1,055.63
  4. Step 4: Simplify right side
    2,516.47x = 3,985,017.97
  5. Step 5: Solve for x
    x = 3,985,017.97/2,516.47
  6. Step 6: Final answer
    x = 1,583.58

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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.