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Finding the Fourth Proportional to 2,349.48, 3,242.71 and 1,405.38

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Solution

The fourth proportional to 2,349.48, 3,242.71 and 1,405.38 is: 1,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.48 : 3,242.71 = 1,405.38 : x
  2. Step 2: Convert to fraction form
    2,349.48/3,242.71 = 1,405.38/x
  3. Step 3: Cross multiply
    2,349.48x = 3,242.71 × 1,405.38
  4. Step 4: Simplify right side
    2,349.48x = 4,557,227.55
  5. Step 5: Solve for x
    x = 4,557,227.55/2,349.48
  6. Step 6: Final answer
    x = 1,939.67

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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.