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Finding the Fourth Proportional to 4,642.98, 6,964.50 and 1,564.98

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Solution

The fourth proportional to 4,642.98, 6,964.50 and 1,564.98 is: 2,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.98 : 6,964.50 = 1,564.98 : x
  2. Step 2: Convert to fraction form
    4,642.98/6,964.50 = 1,564.98/x
  3. Step 3: Cross multiply
    4,642.98x = 6,964.50 × 1,564.98
  4. Step 4: Simplify right side
    4,642.98x = 10,899,303.21
  5. Step 5: Solve for x
    x = 10,899,303.21/4,642.98
  6. Step 6: Final answer
    x = 2,347.48

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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.