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Finding the Fourth Proportional to 2,364.42, 3,263.04 and 1,316.64

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Solution

The fourth proportional to 2,364.42, 3,263.04 and 1,316.64 is: 1,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.42 : 3,263.04 = 1,316.64 : x
  2. Step 2: Convert to fraction form
    2,364.42/3,263.04 = 1,316.64/x
  3. Step 3: Cross multiply
    2,364.42x = 3,263.04 × 1,316.64
  4. Step 4: Simplify right side
    2,364.42x = 4,296,248.99
  5. Step 5: Solve for x
    x = 4,296,248.99/2,364.42
  6. Step 6: Final answer
    x = 1,817.04

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Why These Related Problems?

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