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Finding the Fourth Proportional to 2,596.95, 3,894.04 and 1,134.39

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Solution

The fourth proportional to 2,596.95, 3,894.04 and 1,134.39 is: 1,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.95 : 3,894.04 = 1,134.39 : x
  2. Step 2: Convert to fraction form
    2,596.95/3,894.04 = 1,134.39/x
  3. Step 3: Cross multiply
    2,596.95x = 3,894.04 × 1,134.39
  4. Step 4: Simplify right side
    2,596.95x = 4,417,360.04
  5. Step 5: Solve for x
    x = 4,417,360.04/2,596.95
  6. Step 6: Final answer
    x = 1,700.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.