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Finding the Fourth Proportional to 2,454.02, 3,681.63 and 722.64

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Solution

The fourth proportional to 2,454.02, 3,681.63 and 722.64 is: 1,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.02 : 3,681.63 = 722.64 : x
  2. Step 2: Convert to fraction form
    2,454.02/3,681.63 = 722.64/x
  3. Step 3: Cross multiply
    2,454.02x = 3,681.63 × 722.64
  4. Step 4: Simplify right side
    2,454.02x = 2,660,493.10
  5. Step 5: Solve for x
    x = 2,660,493.10/2,454.02
  6. Step 6: Final answer
    x = 1,084.14

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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.