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Finding the Fourth Proportional to 3,364.95, 5,045.25 and 1,416.63

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Solution

The fourth proportional to 3,364.95, 5,045.25 and 1,416.63 is: 2,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.95 : 5,045.25 = 1,416.63 : x
  2. Step 2: Convert to fraction form
    3,364.95/5,045.25 = 1,416.63/x
  3. Step 3: Cross multiply
    3,364.95x = 5,045.25 × 1,416.63
  4. Step 4: Simplify right side
    3,364.95x = 7,147,252.51
  5. Step 5: Solve for x
    x = 7,147,252.51/3,364.95
  6. Step 6: Final answer
    x = 2,124.03

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