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Finding the Fourth Proportional to 2,378.02, 3,567.03 and 646.64

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Solution

The fourth proportional to 2,378.02, 3,567.03 and 646.64 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.02 : 3,567.03 = 646.64 : x
  2. Step 2: Convert to fraction form
    2,378.02/3,567.03 = 646.64/x
  3. Step 3: Cross multiply
    2,378.02x = 3,567.03 × 646.64
  4. Step 4: Simplify right side
    2,378.02x = 2,306,593.20
  5. Step 5: Solve for x
    x = 2,306,593.20/2,378.02
  6. Step 6: Final answer
    x = 969.96

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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.