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Finding the Fourth Proportional to 2,070.90, 2,857.89 and 1,126.74

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Solution

The fourth proportional to 2,070.90, 2,857.89 and 1,126.74 is: 1,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.90 : 2,857.89 = 1,126.74 : x
  2. Step 2: Convert to fraction form
    2,070.90/2,857.89 = 1,126.74/x
  3. Step 3: Cross multiply
    2,070.90x = 2,857.89 × 1,126.74
  4. Step 4: Simplify right side
    2,070.90x = 3,220,098.98
  5. Step 5: Solve for x
    x = 3,220,098.98/2,070.90
  6. Step 6: Final answer
    x = 1,554.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.