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Finding the Fourth Proportional to 2,378.03, 3,566.64 and 646.25

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Solution

The fourth proportional to 2,378.03, 3,566.64 and 646.25 is: 969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.03 : 3,566.64 = 646.25 : x
  2. Step 2: Convert to fraction form
    2,378.03/3,566.64 = 646.25/x
  3. Step 3: Cross multiply
    2,378.03x = 3,566.64 × 646.25
  4. Step 4: Simplify right side
    2,378.03x = 2,304,941.10
  5. Step 5: Solve for x
    x = 2,304,941.10/2,378.03
  6. Step 6: Final answer
    x = 969.26

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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.