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Finding the Fourth Proportional to 2,475.95, 3,416.69 and 1,356.69

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Solution

The fourth proportional to 2,475.95, 3,416.69 and 1,356.69 is: 1,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.95 : 3,416.69 = 1,356.69 : x
  2. Step 2: Convert to fraction form
    2,475.95/3,416.69 = 1,356.69/x
  3. Step 3: Cross multiply
    2,475.95x = 3,416.69 × 1,356.69
  4. Step 4: Simplify right side
    2,475.95x = 4,635,382.37
  5. Step 5: Solve for x
    x = 4,635,382.37/2,475.95
  6. Step 6: Final answer
    x = 1,872.16

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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.