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Finding the Fourth Proportional to 2,378.41, 3,565.88 and 734.00

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Solution

The fourth proportional to 2,378.41, 3,565.88 and 734.00 is: 1,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.41 : 3,565.88 = 734.00 : x
  2. Step 2: Convert to fraction form
    2,378.41/3,565.88 = 734.00/x
  3. Step 3: Cross multiply
    2,378.41x = 3,565.88 × 734.00
  4. Step 4: Simplify right side
    2,378.41x = 2,617,366.67
  5. Step 5: Solve for x
    x = 2,617,366.67/2,378.41
  6. Step 6: Final answer
    x = 1,100.47

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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.