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Finding the Fourth Proportional to 3,416.92, 4,715.37 and 1,924.76

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Solution

The fourth proportional to 3,416.92, 4,715.37 and 1,924.76 is: 2,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.92 : 4,715.37 = 1,924.76 : x
  2. Step 2: Convert to fraction form
    3,416.92/4,715.37 = 1,924.76/x
  3. Step 3: Cross multiply
    3,416.92x = 4,715.37 × 1,924.76
  4. Step 4: Simplify right side
    3,416.92x = 9,075,967.35
  5. Step 5: Solve for x
    x = 9,075,967.35/3,416.92
  6. Step 6: Final answer
    x = 2,656.19

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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.