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Finding the Fourth Proportional to 1,878.47, 2,814.61 and 645.20

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Solution

The fourth proportional to 1,878.47, 2,814.61 and 645.20 is: 966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.47 : 2,814.61 = 645.20 : x
  2. Step 2: Convert to fraction form
    1,878.47/2,814.61 = 645.20/x
  3. Step 3: Cross multiply
    1,878.47x = 2,814.61 × 645.20
  4. Step 4: Simplify right side
    1,878.47x = 1,815,986.37
  5. Step 5: Solve for x
    x = 1,815,986.37/1,878.47
  6. Step 6: Final answer
    x = 966.74

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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.