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Finding the Fourth Proportional to 2,475.84, 3,416.64 and 1,356.77

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Solution

The fourth proportional to 2,475.84, 3,416.64 and 1,356.77 is: 1,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.84 : 3,416.64 = 1,356.77 : x
  2. Step 2: Convert to fraction form
    2,475.84/3,416.64 = 1,356.77/x
  3. Step 3: Cross multiply
    2,475.84x = 3,416.64 × 1,356.77
  4. Step 4: Simplify right side
    2,475.84x = 4,635,577.57
  5. Step 5: Solve for x
    x = 4,635,577.57/2,475.84
  6. Step 6: Final answer
    x = 1,872.33

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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.