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Finding the Fourth Proportional to 2,364.81, 3,263.76 and 1,370.40

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Solution

The fourth proportional to 2,364.81, 3,263.76 and 1,370.40 is: 1,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.81 : 3,263.76 = 1,370.40 : x
  2. Step 2: Convert to fraction form
    2,364.81/3,263.76 = 1,370.40/x
  3. Step 3: Cross multiply
    2,364.81x = 3,263.76 × 1,370.40
  4. Step 4: Simplify right side
    2,364.81x = 4,472,656.70
  5. Step 5: Solve for x
    x = 4,472,656.70/2,364.81
  6. Step 6: Final answer
    x = 1,891.34

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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.