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Finding the Fourth Proportional to 2,944.67, 4,070.10 and 2,587.91

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Solution

The fourth proportional to 2,944.67, 4,070.10 and 2,587.91 is: 3,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.67 : 4,070.10 = 2,587.91 : x
  2. Step 2: Convert to fraction form
    2,944.67/4,070.10 = 2,587.91/x
  3. Step 3: Cross multiply
    2,944.67x = 4,070.10 × 2,587.91
  4. Step 4: Simplify right side
    2,944.67x = 10,533,055.91
  5. Step 5: Solve for x
    x = 10,533,055.91/2,944.67
  6. Step 6: Final answer
    x = 3,576.99

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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.