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Finding the Fourth Proportional to 1,878.32, 2,815.60 and 707.43

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Solution

The fourth proportional to 1,878.32, 2,815.60 and 707.43 is: 1,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.32 : 2,815.60 = 707.43 : x
  2. Step 2: Convert to fraction form
    1,878.32/2,815.60 = 707.43/x
  3. Step 3: Cross multiply
    1,878.32x = 2,815.60 × 707.43
  4. Step 4: Simplify right side
    1,878.32x = 1,991,839.91
  5. Step 5: Solve for x
    x = 1,991,839.91/1,878.32
  6. Step 6: Final answer
    x = 1,060.44

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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.