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Finding the Fourth Proportional to 1,482.07, 2,045.51 and 892.66

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Solution

The fourth proportional to 1,482.07, 2,045.51 and 892.66 is: 1,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.07 : 2,045.51 = 892.66 : x
  2. Step 2: Convert to fraction form
    1,482.07/2,045.51 = 892.66/x
  3. Step 3: Cross multiply
    1,482.07x = 2,045.51 × 892.66
  4. Step 4: Simplify right side
    1,482.07x = 1,825,944.96
  5. Step 5: Solve for x
    x = 1,825,944.96/1,482.07
  6. Step 6: Final answer
    x = 1,232.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.