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Finding the Fourth Proportional to 1,564.65, 2,344.34 and 946.49

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Solution

The fourth proportional to 1,564.65, 2,344.34 and 946.49 is: 1,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.65 : 2,344.34 = 946.49 : x
  2. Step 2: Convert to fraction form
    1,564.65/2,344.34 = 946.49/x
  3. Step 3: Cross multiply
    1,564.65x = 2,344.34 × 946.49
  4. Step 4: Simplify right side
    1,564.65x = 2,218,885.01
  5. Step 5: Solve for x
    x = 2,218,885.01/1,564.65
  6. Step 6: Final answer
    x = 1,418.14

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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.