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Finding the Fourth Proportional to 2,378.13, 3,567.19 and 646.75

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Solution

The fourth proportional to 2,378.13, 3,567.19 and 646.75 is: 970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.13 : 3,567.19 = 646.75 : x
  2. Step 2: Convert to fraction form
    2,378.13/3,567.19 = 646.75/x
  3. Step 3: Cross multiply
    2,378.13x = 3,567.19 × 646.75
  4. Step 4: Simplify right side
    2,378.13x = 2,307,080.13
  5. Step 5: Solve for x
    x = 2,307,080.13/2,378.13
  6. Step 6: Final answer
    x = 970.12

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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.