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Finding the Fourth Proportional to 1,877.06, 2,813 and 705.89

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Solution

The fourth proportional to 1,877.06, 2,813 and 705.89 is: 1,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.06 : 2,813 = 705.89 : x
  2. Step 2: Convert to fraction form
    1,877.06/2,813 = 705.89/x
  3. Step 3: Cross multiply
    1,877.06x = 2,813 × 705.89
  4. Step 4: Simplify right side
    1,877.06x = 1,985,668.57
  5. Step 5: Solve for x
    x = 1,985,668.57/1,877.06
  6. Step 6: Final answer
    x = 1,057.86

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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.