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Finding the Fourth Proportional to 2,322.42, 3,478.77 and 1,347.99

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Solution

The fourth proportional to 2,322.42, 3,478.77 and 1,347.99 is: 2,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.42 : 3,478.77 = 1,347.99 : x
  2. Step 2: Convert to fraction form
    2,322.42/3,478.77 = 1,347.99/x
  3. Step 3: Cross multiply
    2,322.42x = 3,478.77 × 1,347.99
  4. Step 4: Simplify right side
    2,322.42x = 4,689,347.17
  5. Step 5: Solve for x
    x = 4,689,347.17/2,322.42
  6. Step 6: Final answer
    x = 2,019.16

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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.