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Finding the Fourth Proportional to 1,693.10, 2,539.65 and 964.10

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Solution

The fourth proportional to 1,693.10, 2,539.65 and 964.10 is: 1,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.10 : 2,539.65 = 964.10 : x
  2. Step 2: Convert to fraction form
    1,693.10/2,539.65 = 964.10/x
  3. Step 3: Cross multiply
    1,693.10x = 2,539.65 × 964.10
  4. Step 4: Simplify right side
    1,693.10x = 2,448,476.57
  5. Step 5: Solve for x
    x = 2,448,476.57/1,693.10
  6. Step 6: Final answer
    x = 1,446.15

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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.