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Finding the Fourth Proportional to 2,070.89, 3,105.35 and 753.71

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Solution

The fourth proportional to 2,070.89, 3,105.35 and 753.71 is: 1,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.89 : 3,105.35 = 753.71 : x
  2. Step 2: Convert to fraction form
    2,070.89/3,105.35 = 753.71/x
  3. Step 3: Cross multiply
    2,070.89x = 3,105.35 × 753.71
  4. Step 4: Simplify right side
    2,070.89x = 2,340,533.35
  5. Step 5: Solve for x
    x = 2,340,533.35/2,070.89
  6. Step 6: Final answer
    x = 1,130.21

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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.