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Finding the Fourth Proportional to 1,625.46, 2,433.60 and 1,264.47

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Solution

The fourth proportional to 1,625.46, 2,433.60 and 1,264.47 is: 1,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.46 : 2,433.60 = 1,264.47 : x
  2. Step 2: Convert to fraction form
    1,625.46/2,433.60 = 1,264.47/x
  3. Step 3: Cross multiply
    1,625.46x = 2,433.60 × 1,264.47
  4. Step 4: Simplify right side
    1,625.46x = 3,077,214.19
  5. Step 5: Solve for x
    x = 3,077,214.19/1,625.46
  6. Step 6: Final answer
    x = 1,893.13

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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.