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Finding the Fourth Proportional to 2,070.66, 2,859.66 and 1,774.20

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Solution

The fourth proportional to 2,070.66, 2,859.66 and 1,774.20 is: 2,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.66 : 2,859.66 = 1,774.20 : x
  2. Step 2: Convert to fraction form
    2,070.66/2,859.66 = 1,774.20/x
  3. Step 3: Cross multiply
    2,070.66x = 2,859.66 × 1,774.20
  4. Step 4: Simplify right side
    2,070.66x = 5,073,608.77
  5. Step 5: Solve for x
    x = 5,073,608.77/2,070.66
  6. Step 6: Final answer
    x = 2,450.24

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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.