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Finding the Fourth Proportional to 2,304.64, 3,459.36 and 1,332.64

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Solution

The fourth proportional to 2,304.64, 3,459.36 and 1,332.64 is: 2,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.64 : 3,459.36 = 1,332.64 : x
  2. Step 2: Convert to fraction form
    2,304.64/3,459.36 = 1,332.64/x
  3. Step 3: Cross multiply
    2,304.64x = 3,459.36 × 1,332.64
  4. Step 4: Simplify right side
    2,304.64x = 4,610,081.51
  5. Step 5: Solve for x
    x = 4,610,081.51/2,304.64
  6. Step 6: Final answer
    x = 2,000.35

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Why These Related Problems?

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