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Finding the Fourth Proportional to 1,516.02, 2,275.38 and 786.10

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Solution

The fourth proportional to 1,516.02, 2,275.38 and 786.10 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.02 : 2,275.38 = 786.10 : x
  2. Step 2: Convert to fraction form
    1,516.02/2,275.38 = 786.10/x
  3. Step 3: Cross multiply
    1,516.02x = 2,275.38 × 786.10
  4. Step 4: Simplify right side
    1,516.02x = 1,788,676.22
  5. Step 5: Solve for x
    x = 1,788,676.22/1,516.02
  6. Step 6: Final answer
    x = 1,179.85

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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.