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Finding the Fourth Proportional to 2,770.64, 4,152.82 and 1,125.12

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Solution

The fourth proportional to 2,770.64, 4,152.82 and 1,125.12 is: 1,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.64 : 4,152.82 = 1,125.12 : x
  2. Step 2: Convert to fraction form
    2,770.64/4,152.82 = 1,125.12/x
  3. Step 3: Cross multiply
    2,770.64x = 4,152.82 × 1,125.12
  4. Step 4: Simplify right side
    2,770.64x = 4,672,420.84
  5. Step 5: Solve for x
    x = 4,672,420.84/2,770.64
  6. Step 6: Final answer
    x = 1,686.40

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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.