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Finding the Fourth Proportional to 1,878.30, 2,816.76 and 645.36

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Solution

The fourth proportional to 1,878.30, 2,816.76 and 645.36 is: 967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.30 : 2,816.76 = 645.36 : x
  2. Step 2: Convert to fraction form
    1,878.30/2,816.76 = 645.36/x
  3. Step 3: Cross multiply
    1,878.30x = 2,816.76 × 645.36
  4. Step 4: Simplify right side
    1,878.30x = 1,817,824.23
  5. Step 5: Solve for x
    x = 1,817,824.23/1,878.30
  6. Step 6: Final answer
    x = 967.80

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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.