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Finding the Fourth Proportional to 1,292.61, 1,938.93 and 552.12

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Solution

The fourth proportional to 1,292.61, 1,938.93 and 552.12 is: 828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.61 : 1,938.93 = 552.12 : x
  2. Step 2: Convert to fraction form
    1,292.61/1,938.93 = 552.12/x
  3. Step 3: Cross multiply
    1,292.61x = 1,938.93 × 552.12
  4. Step 4: Simplify right side
    1,292.61x = 1,070,522.03
  5. Step 5: Solve for x
    x = 1,070,522.03/1,292.61
  6. Step 6: Final answer
    x = 828.19

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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.