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Finding the Fourth Proportional to 1,800.35, 2,700.60 and 1,106.58

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Solution

The fourth proportional to 1,800.35, 2,700.60 and 1,106.58 is: 1,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.35 : 2,700.60 = 1,106.58 : x
  2. Step 2: Convert to fraction form
    1,800.35/2,700.60 = 1,106.58/x
  3. Step 3: Cross multiply
    1,800.35x = 2,700.60 × 1,106.58
  4. Step 4: Simplify right side
    1,800.35x = 2,988,429.95
  5. Step 5: Solve for x
    x = 2,988,429.95/1,800.35
  6. Step 6: Final answer
    x = 1,659.92

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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.