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Finding the Fourth Proportional to 2,598.38, 3,895.74 and 1,298.94

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Solution

The fourth proportional to 2,598.38, 3,895.74 and 1,298.94 is: 1,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.38 : 3,895.74 = 1,298.94 : x
  2. Step 2: Convert to fraction form
    2,598.38/3,895.74 = 1,298.94/x
  3. Step 3: Cross multiply
    2,598.38x = 3,895.74 × 1,298.94
  4. Step 4: Simplify right side
    2,598.38x = 5,060,332.52
  5. Step 5: Solve for x
    x = 5,060,332.52/2,598.38
  6. Step 6: Final answer
    x = 1,947.50

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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.