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Finding the Fourth Proportional to 2,475.48, 3,416.16 and 1,356.48

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Solution

The fourth proportional to 2,475.48, 3,416.16 and 1,356.48 is: 1,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.48 : 3,416.16 = 1,356.48 : x
  2. Step 2: Convert to fraction form
    2,475.48/3,416.16 = 1,356.48/x
  3. Step 3: Cross multiply
    2,475.48x = 3,416.16 × 1,356.48
  4. Step 4: Simplify right side
    2,475.48x = 4,633,952.72
  5. Step 5: Solve for x
    x = 4,633,952.72/2,475.48
  6. Step 6: Final answer
    x = 1,871.94

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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.