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Finding the Fourth Proportional to 1,875.89, 2,814.60 and 780.05

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Solution

The fourth proportional to 1,875.89, 2,814.60 and 780.05 is: 1,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.89 : 2,814.60 = 780.05 : x
  2. Step 2: Convert to fraction form
    1,875.89/2,814.60 = 780.05/x
  3. Step 3: Cross multiply
    1,875.89x = 2,814.60 × 780.05
  4. Step 4: Simplify right side
    1,875.89x = 2,195,528.73
  5. Step 5: Solve for x
    x = 2,195,528.73/1,875.89
  6. Step 6: Final answer
    x = 1,170.39

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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.