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Finding the Fourth Proportional to 2,292.01, 3,438.03 and 560.64

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Solution

The fourth proportional to 2,292.01, 3,438.03 and 560.64 is: 840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.01 : 3,438.03 = 560.64 : x
  2. Step 2: Convert to fraction form
    2,292.01/3,438.03 = 560.64/x
  3. Step 3: Cross multiply
    2,292.01x = 3,438.03 × 560.64
  4. Step 4: Simplify right side
    2,292.01x = 1,927,497.14
  5. Step 5: Solve for x
    x = 1,927,497.14/2,292.01
  6. Step 6: Final answer
    x = 840.96

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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.