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Finding the Fourth Proportional to 1,820.42, 2,512.46 and 1,074.46

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Solution

The fourth proportional to 1,820.42, 2,512.46 and 1,074.46 is: 1,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.42 : 2,512.46 = 1,074.46 : x
  2. Step 2: Convert to fraction form
    1,820.42/2,512.46 = 1,074.46/x
  3. Step 3: Cross multiply
    1,820.42x = 2,512.46 × 1,074.46
  4. Step 4: Simplify right side
    1,820.42x = 2,699,537.77
  5. Step 5: Solve for x
    x = 2,699,537.77/1,820.42
  6. Step 6: Final answer
    x = 1,482.92

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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.