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Finding the Fourth Proportional to 1,347, 1,857.24 and 1,097.82

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Solution

The fourth proportional to 1,347, 1,857.24 and 1,097.82 is: 1,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347 : 1,857.24 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    1,347/1,857.24 = 1,097.82/x
  3. Step 3: Cross multiply
    1,347x = 1,857.24 × 1,097.82
  4. Step 4: Simplify right side
    1,347x = 2,038,915.22
  5. Step 5: Solve for x
    x = 2,038,915.22/1,347
  6. Step 6: Final answer
    x = 1,513.67

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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.