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Finding the Fourth Proportional to 2,065.57, 2,849.23 and 1,225.71

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Solution

The fourth proportional to 2,065.57, 2,849.23 and 1,225.71 is: 1,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.57 : 2,849.23 = 1,225.71 : x
  2. Step 2: Convert to fraction form
    2,065.57/2,849.23 = 1,225.71/x
  3. Step 3: Cross multiply
    2,065.57x = 2,849.23 × 1,225.71
  4. Step 4: Simplify right side
    2,065.57x = 3,492,333.76
  5. Step 5: Solve for x
    x = 3,492,333.76/2,065.57
  6. Step 6: Final answer
    x = 1,690.74

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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.