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Finding the Fourth Proportional to 3,097.87, 4,275.02 and 1,771.32

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Solution

The fourth proportional to 3,097.87, 4,275.02 and 1,771.32 is: 2,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.87 : 4,275.02 = 1,771.32 : x
  2. Step 2: Convert to fraction form
    3,097.87/4,275.02 = 1,771.32/x
  3. Step 3: Cross multiply
    3,097.87x = 4,275.02 × 1,771.32
  4. Step 4: Simplify right side
    3,097.87x = 7,572,412.38
  5. Step 5: Solve for x
    x = 7,572,412.38/3,097.87
  6. Step 6: Final answer
    x = 2,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.