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Finding the Fourth Proportional to 2,330.95, 3,216.71 and 1,283

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Solution

The fourth proportional to 2,330.95, 3,216.71 and 1,283 is: 1,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.95 : 3,216.71 = 1,283 : x
  2. Step 2: Convert to fraction form
    2,330.95/3,216.71 = 1,283/x
  3. Step 3: Cross multiply
    2,330.95x = 3,216.71 × 1,283
  4. Step 4: Simplify right side
    2,330.95x = 4,127,032.52
  5. Step 5: Solve for x
    x = 4,127,032.52/2,330.95
  6. Step 6: Final answer
    x = 1,770.54

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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.