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Finding the Fourth Proportional to 2,425.47, 3,638.22 and 964.63

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Solution

The fourth proportional to 2,425.47, 3,638.22 and 964.63 is: 1,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.47 : 3,638.22 = 964.63 : x
  2. Step 2: Convert to fraction form
    2,425.47/3,638.22 = 964.63/x
  3. Step 3: Cross multiply
    2,425.47x = 3,638.22 × 964.63
  4. Step 4: Simplify right side
    2,425.47x = 3,509,547.32
  5. Step 5: Solve for x
    x = 3,509,547.32/2,425.47
  6. Step 6: Final answer
    x = 1,446.96

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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.