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Finding the Fourth Proportional to 2,378.12, 3,567.17 and 646.74

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Solution

The fourth proportional to 2,378.12, 3,567.17 and 646.74 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.12 : 3,567.17 = 646.74 : x
  2. Step 2: Convert to fraction form
    2,378.12/3,567.17 = 646.74/x
  3. Step 3: Cross multiply
    2,378.12x = 3,567.17 × 646.74
  4. Step 4: Simplify right side
    2,378.12x = 2,307,033.14
  5. Step 5: Solve for x
    x = 2,307,033.14/2,378.12
  6. Step 6: Final answer
    x = 970.11

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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.