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Finding the Fourth Proportional to 1,346.42, 1,857.92 and 953.30

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Solution

The fourth proportional to 1,346.42, 1,857.92 and 953.30 is: 1,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.42 : 1,857.92 = 953.30 : x
  2. Step 2: Convert to fraction form
    1,346.42/1,857.92 = 953.30/x
  3. Step 3: Cross multiply
    1,346.42x = 1,857.92 × 953.30
  4. Step 4: Simplify right side
    1,346.42x = 1,771,155.14
  5. Step 5: Solve for x
    x = 1,771,155.14/1,346.42
  6. Step 6: Final answer
    x = 1,315.46

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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.