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Finding the Fourth Proportional to 1,397.64, 2,097.40 and 964.02

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Solution

The fourth proportional to 1,397.64, 2,097.40 and 964.02 is: 1,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.64 : 2,097.40 = 964.02 : x
  2. Step 2: Convert to fraction form
    1,397.64/2,097.40 = 964.02/x
  3. Step 3: Cross multiply
    1,397.64x = 2,097.40 × 964.02
  4. Step 4: Simplify right side
    1,397.64x = 2,021,935.55
  5. Step 5: Solve for x
    x = 2,021,935.55/1,397.64
  6. Step 6: Final answer
    x = 1,446.68

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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.