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Finding the Fourth Proportional to 2,378.18, 3,567.28 and 646.80

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Solution

The fourth proportional to 2,378.18, 3,567.28 and 646.80 is: 970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.18 : 3,567.28 = 646.80 : x
  2. Step 2: Convert to fraction form
    2,378.18/3,567.28 = 646.80/x
  3. Step 3: Cross multiply
    2,378.18x = 3,567.28 × 646.80
  4. Step 4: Simplify right side
    2,378.18x = 2,307,316.70
  5. Step 5: Solve for x
    x = 2,307,316.70/2,378.18
  6. Step 6: Final answer
    x = 970.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.