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Finding the Fourth Proportional to 2,475.53, 3,416.22 and 1,356.53

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Solution

The fourth proportional to 2,475.53, 3,416.22 and 1,356.53 is: 1,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.53 : 3,416.22 = 1,356.53 : x
  2. Step 2: Convert to fraction form
    2,475.53/3,416.22 = 1,356.53/x
  3. Step 3: Cross multiply
    2,475.53x = 3,416.22 × 1,356.53
  4. Step 4: Simplify right side
    2,475.53x = 4,634,213.46
  5. Step 5: Solve for x
    x = 4,634,213.46/2,475.53
  6. Step 6: Final answer
    x = 1,872.01

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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.