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Finding the Fourth Proportional to 3,416.59, 4,715.34 and 1,924.80

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Solution

The fourth proportional to 3,416.59, 4,715.34 and 1,924.80 is: 2,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.59 : 4,715.34 = 1,924.80 : x
  2. Step 2: Convert to fraction form
    3,416.59/4,715.34 = 1,924.80/x
  3. Step 3: Cross multiply
    3,416.59x = 4,715.34 × 1,924.80
  4. Step 4: Simplify right side
    3,416.59x = 9,076,062.86
  5. Step 5: Solve for x
    x = 9,076,062.86/3,416.59
  6. Step 6: Final answer
    x = 2,656.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.