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Finding the Fourth Proportional to 2,283.67, 3,151.47 and 1,235.74

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Solution

The fourth proportional to 2,283.67, 3,151.47 and 1,235.74 is: 1,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.67 : 3,151.47 = 1,235.74 : x
  2. Step 2: Convert to fraction form
    2,283.67/3,151.47 = 1,235.74/x
  3. Step 3: Cross multiply
    2,283.67x = 3,151.47 × 1,235.74
  4. Step 4: Simplify right side
    2,283.67x = 3,894,381.78
  5. Step 5: Solve for x
    x = 3,894,381.78/2,283.67
  6. Step 6: Final answer
    x = 1,705.32

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Why These Related Problems?

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