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Finding the Fourth Proportional to 1,877.59, 2,814.82 and 706.94

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Solution

The fourth proportional to 1,877.59, 2,814.82 and 706.94 is: 1,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.59 : 2,814.82 = 706.94 : x
  2. Step 2: Convert to fraction form
    1,877.59/2,814.82 = 706.94/x
  3. Step 3: Cross multiply
    1,877.59x = 2,814.82 × 706.94
  4. Step 4: Simplify right side
    1,877.59x = 1,989,924.61
  5. Step 5: Solve for x
    x = 1,989,924.61/1,877.59
  6. Step 6: Final answer
    x = 1,059.83

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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.