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Finding the Fourth Proportional to 2,341.74, 3,507.09 and 2,177.72

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Solution

The fourth proportional to 2,341.74, 3,507.09 and 2,177.72 is: 3,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.74 : 3,507.09 = 2,177.72 : x
  2. Step 2: Convert to fraction form
    2,341.74/3,507.09 = 2,177.72/x
  3. Step 3: Cross multiply
    2,341.74x = 3,507.09 × 2,177.72
  4. Step 4: Simplify right side
    2,341.74x = 7,637,442.50
  5. Step 5: Solve for x
    x = 7,637,442.50/2,341.74
  6. Step 6: Final answer
    x = 3,261.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.