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Finding the Fourth Proportional to 2,124.16, 3,186.42 and 564.40

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Solution

The fourth proportional to 2,124.16, 3,186.42 and 564.40 is: 846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.16 : 3,186.42 = 564.40 : x
  2. Step 2: Convert to fraction form
    2,124.16/3,186.42 = 564.40/x
  3. Step 3: Cross multiply
    2,124.16x = 3,186.42 × 564.40
  4. Step 4: Simplify right side
    2,124.16x = 1,798,415.45
  5. Step 5: Solve for x
    x = 1,798,415.45/2,124.16
  6. Step 6: Final answer
    x = 846.65

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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.