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Finding the Fourth Proportional to 1,416.47, 2,124.87 and 376.49

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Solution

The fourth proportional to 1,416.47, 2,124.87 and 376.49 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.47 : 2,124.87 = 376.49 : x
  2. Step 2: Convert to fraction form
    1,416.47/2,124.87 = 376.49/x
  3. Step 3: Cross multiply
    1,416.47x = 2,124.87 × 376.49
  4. Step 4: Simplify right side
    1,416.47x = 799,980.27
  5. Step 5: Solve for x
    x = 799,980.27/1,416.47
  6. Step 6: Final answer
    x = 564.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.