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Finding the Fourth Proportional to 2,475.70, 3,416.47 and 1,356.71

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Solution

The fourth proportional to 2,475.70, 3,416.47 and 1,356.71 is: 1,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.70 : 3,416.47 = 1,356.71 : x
  2. Step 2: Convert to fraction form
    2,475.70/3,416.47 = 1,356.71/x
  3. Step 3: Cross multiply
    2,475.70x = 3,416.47 × 1,356.71
  4. Step 4: Simplify right side
    2,475.70x = 4,635,159.01
  5. Step 5: Solve for x
    x = 4,635,159.01/2,475.70
  6. Step 6: Final answer
    x = 1,872.26

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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.