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Finding the Fourth Proportional to 2,366.64, 3,266.11 and 1,304.40

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Solution

The fourth proportional to 2,366.64, 3,266.11 and 1,304.40 is: 1,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.64 : 3,266.11 = 1,304.40 : x
  2. Step 2: Convert to fraction form
    2,366.64/3,266.11 = 1,304.40/x
  3. Step 3: Cross multiply
    2,366.64x = 3,266.11 × 1,304.40
  4. Step 4: Simplify right side
    2,366.64x = 4,260,307.36
  5. Step 5: Solve for x
    x = 4,260,307.36/2,366.64
  6. Step 6: Final answer
    x = 1,800.15

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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.