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Finding the Fourth Proportional to 2,475.42, 3,416.02 and 1,356.30

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Solution

The fourth proportional to 2,475.42, 3,416.02 and 1,356.30 is: 1,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.42 : 3,416.02 = 1,356.30 : x
  2. Step 2: Convert to fraction form
    2,475.42/3,416.02 = 1,356.30/x
  3. Step 3: Cross multiply
    2,475.42x = 3,416.02 × 1,356.30
  4. Step 4: Simplify right side
    2,475.42x = 4,633,147.93
  5. Step 5: Solve for x
    x = 4,633,147.93/2,475.42
  6. Step 6: Final answer
    x = 1,871.66

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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.