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Finding the Fourth Proportional to 1,564.34, 2,344.08 and 986

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Solution

The fourth proportional to 1,564.34, 2,344.08 and 986 is: 1,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.34 : 2,344.08 = 986 : x
  2. Step 2: Convert to fraction form
    1,564.34/2,344.08 = 986/x
  3. Step 3: Cross multiply
    1,564.34x = 2,344.08 × 986
  4. Step 4: Simplify right side
    1,564.34x = 2,311,262.88
  5. Step 5: Solve for x
    x = 2,311,262.88/1,564.34
  6. Step 6: Final answer
    x = 1,477.47

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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.